Saunders, Sam C.
Overview
Works:  57 works in 81 publications in 1 language and 494 library holdings 

Genres:  Exhibition catalogs 
Roles:  Author 
Classifications:  TA169, 620.00452 
Publication Timeline
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Most widely held works by
Sam C Saunders
Reliability, life testing and the prediction of service lives : for engineers and scientists by
Sam C Saunders(
Book
)
16 editions published between 2007 and 2011 in English and held by 155 WorldCat member libraries worldwide
This book is intended for students and practitioners who have had a calculusbased statistics course and who have an interest in safety considerations such as reliability, strength, and durationofload or service life. Many persons studying statistical science will be employed professionally where the problems encountered are obscure, what should be analyzed is not clear, the appropriate assumptions are equivocal, and data are scant. Yet tutorial problems of this nature are virtually never encountered in coursework. In this book there is no disclosure with many of the data sets what type of investigation should be made or what assumptions are to be used. Most reliability practitioners will be employed where personal interaction between disciplines is a necessity. A section is included on communication skills to facilitate model selection and formulation based on verifiable assumptions, rather than favorable conclusions. However, whether the answer is "right" can never be ascertained. Past and current applications of stochastic modeling to lifelength can only be a guide for future adaptations under different conditions, with new materials in unknown usages. This book unifies the study of cumulativedamage distributions, namely, Wald and Tweedie (i.e., inverseGaussian and its reciprocal) with "fatiguelife." These distributions are most useful when the coefficientofvariation is more appropriate than is the variance as a measure of dispersion. It is shown, uniquely, that the same hyperbolicsine transformation of each life length variate has a Chisquare onedf distribution. This property is useful in the sample statistics. These IHRA distributions realistically model lifelength, strength or duration of load under linear cumulative damage and can be combined as approximations in nonlinear situations. Sam C. Saunders has served as a research engineer for 17 years at the Boeing Scientific Research Laboratories, 20 years as a consultant to the Advisory Committee for Nuclear Safeguards, 10 years as a consultant to NIST, was a principal in the consulting firms Mathematical Analysis Research Corporation and Scientific Consulting Service; and was for 26 years a professor of Applied Mathematics/Statistics at Washington State University. He is a Fellow of the American Statistical Association and a former editor of Technometrics
16 editions published between 2007 and 2011 in English and held by 155 WorldCat member libraries worldwide
This book is intended for students and practitioners who have had a calculusbased statistics course and who have an interest in safety considerations such as reliability, strength, and durationofload or service life. Many persons studying statistical science will be employed professionally where the problems encountered are obscure, what should be analyzed is not clear, the appropriate assumptions are equivocal, and data are scant. Yet tutorial problems of this nature are virtually never encountered in coursework. In this book there is no disclosure with many of the data sets what type of investigation should be made or what assumptions are to be used. Most reliability practitioners will be employed where personal interaction between disciplines is a necessity. A section is included on communication skills to facilitate model selection and formulation based on verifiable assumptions, rather than favorable conclusions. However, whether the answer is "right" can never be ascertained. Past and current applications of stochastic modeling to lifelength can only be a guide for future adaptations under different conditions, with new materials in unknown usages. This book unifies the study of cumulativedamage distributions, namely, Wald and Tweedie (i.e., inverseGaussian and its reciprocal) with "fatiguelife." These distributions are most useful when the coefficientofvariation is more appropriate than is the variance as a measure of dispersion. It is shown, uniquely, that the same hyperbolicsine transformation of each life length variate has a Chisquare onedf distribution. This property is useful in the sample statistics. These IHRA distributions realistically model lifelength, strength or duration of load under linear cumulative damage and can be combined as approximations in nonlinear situations. Sam C. Saunders has served as a research engineer for 17 years at the Boeing Scientific Research Laboratories, 20 years as a consultant to the Advisory Committee for Nuclear Safeguards, 10 years as a consultant to NIST, was a principal in the consulting firms Mathematical Analysis Research Corporation and Scientific Consulting Service; and was for 26 years a professor of Applied Mathematics/Statistics at Washington State University. He is a Fellow of the American Statistical Association and a former editor of Technometrics
A study of meteorological processes important in the degradation of materials through surface temperature by
Sam C Saunders(
Book
)
5 editions published in 1990 in English and held by 141 WorldCat member libraries worldwide
5 editions published in 1990 in English and held by 141 WorldCat member libraries worldwide
Sequential and randomized distributionfree tolerance limits by
Sam C Saunders(
Book
)
3 editions published in 1956 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1956 in English and held by 3 WorldCat member libraries worldwide
A model for aerial surveillance of moving objects when errors of observation are multivariate normal by
Ingram Olkin(
Book
)
2 editions published in 1978 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1978 in English and held by 3 WorldCat member libraries worldwide
Swords of the Samurai : Japanese arms and armor from Northwest collections(
Book
)
2 editions published in 1985 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1985 in English and held by 3 WorldCat member libraries worldwide
A family of random variables closed under reciprocation by
Sam C Saunders(
Book
)
1 edition published in 1973 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1973 in English and held by 2 WorldCat member libraries worldwide
On the use of a distributionfree property in determining a transformation of one variate such that it will exceed another
with a given probability(
Book
)
1 edition published in 1961 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1961 in English and held by 2 WorldCat member libraries worldwide
A Synthesis of Crack Growth Theories in Fatigue into Some Statistical Distributions of Fatigue Life(
Book
)
1 edition published in 1975 in English and held by 2 WorldCat member libraries worldwide
The proposed model for fatigue life is a synthesis of the distributional properties of three separate phases of fatigue crack growth. The convolved distribution of life contains three estimable parameters and a function disposable within a restricted class. The problem of estimating all three parameters using the method of maximum likelihood is examined and shown to be impossible of solution in certain cases. This indicates that one of the parameters must be determined a priori from concepts of strength of materials or fracture mechanics
1 edition published in 1975 in English and held by 2 WorldCat member libraries worldwide
The proposed model for fatigue life is a synthesis of the distributional properties of three separate phases of fatigue crack growth. The convolved distribution of life contains three estimable parameters and a function disposable within a restricted class. The problem of estimating all three parameters using the method of maximum likelihood is examined and shown to be impossible of solution in certain cases. This indicates that one of the parameters must be determined a priori from concepts of strength of materials or fracture mechanics
Estimation for a family of life distributions with applications to fatigue by
Z. W Birnbaum(
Book
)
2 editions published in 1968 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1968 in English and held by 2 WorldCat member libraries worldwide
On the behavior of certain maximum likelihood estimators from large, randomly censored samples by
Sam C Saunders(
Book
)
1 edition published in 1981 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1981 in English and held by 2 WorldCat member libraries worldwide
The Theory Relating the Woehler Equation to Cumulative Damage in the Distribution Fatigue Life(
Book
)
1 edition published in 1974 in English and held by 2 WorldCat member libraries worldwide
A theoretical model which is able to encompass the observed fatigue growth phenomena of crack acceleration or crack deceleration, crack arrest, and crack jump at a change of load level, is proposed for the expected incremental crack growth rate under programmed loads. The parameters are calculated by techniques which match the crack growth rate using earlier data on striation counts obtained by electron fractography for an aluminum alloy. The implications of this model for determining an appropriate distribution of fatigue life are noted. (Author)
1 edition published in 1974 in English and held by 2 WorldCat member libraries worldwide
A theoretical model which is able to encompass the observed fatigue growth phenomena of crack acceleration or crack deceleration, crack arrest, and crack jump at a change of load level, is proposed for the expected incremental crack growth rate under programmed loads. The parameters are calculated by techniques which match the crack growth rate using earlier data on striation counts obtained by electron fractography for an aluminum alloy. The implications of this model for determining an appropriate distribution of fatigue life are noted. (Author)
On Variant Confidence Intervals for the Parameters of a New Life Distribution(
Book
)
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
In this paper the problem of obtaining confidence intervals and tests of hypotheses for the parameters of a new distribution derived by Birnbaum and Saunders is explored. The maximumlikelihood estimators of the shape and scale parameters are investigated and shown, for samples of size two, to be such that they cannot provide invariant confidence intervals for either of the parameters. A statistic which is asymptotically independent of the shape parameter alpha is shown to be capable of providing confidence bounds for the scale parameter beta. These bounds, however, are subsequently shown to exhibit invariance with respect to alpha only for samples of size fifty or larger. Finally, three statistics based on maximal invariants for tests and confidence sets independent of alpha are investigated in terms of accuracy of confidence bounds for (power of tests concerning beta. Percentage points of the statistics yielding the most accurate confidence bounds for beta, among those investigated, are tabulated for samples of size n, n = 2(1)5. (Author)
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
In this paper the problem of obtaining confidence intervals and tests of hypotheses for the parameters of a new distribution derived by Birnbaum and Saunders is explored. The maximumlikelihood estimators of the shape and scale parameters are investigated and shown, for samples of size two, to be such that they cannot provide invariant confidence intervals for either of the parameters. A statistic which is asymptotically independent of the shape parameter alpha is shown to be capable of providing confidence bounds for the scale parameter beta. These bounds, however, are subsequently shown to exhibit invariance with respect to alpha only for samples of size fifty or larger. Finally, three statistics based on maximal invariants for tests and confidence sets independent of alpha are investigated in terms of accuracy of confidence bounds for (power of tests concerning beta. Percentage points of the statistics yielding the most accurate confidence bounds for beta, among those investigated, are tabulated for samples of size n, n = 2(1)5. (Author)
Multicomponent systems and structures and their reliability by
Z. W Birnbaum(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
On the determination of a safe life for classes of distributions classified by failure rate(
Book
)
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
Using a lower tolerance bound as the derated life provides a guaranteed service period with the confidence level as a measure of safety in situations where mass production is contemplated. However, when only a limited number of items are to be produced, the probability of no failures among the fleet of specified size provides a better measure of assurance. Assuming that the life distribution is one of a specified set of subclasses of those distributions which have increasing failure rates we find those derating functions which can be used to provide lower tolerance bounds of given confidence or a safe service life with specified fleet assurance. A method of finding such derating functions is exhibited and the calculation of a lower bound for the probability of no failure in the fleet is carried out when such derating functions are used. The confidence in the tolerance bound and the assurance of no fleet failure are compared when using bounds obtained from these derating functions. (Author)
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
Using a lower tolerance bound as the derated life provides a guaranteed service period with the confidence level as a measure of safety in situations where mass production is contemplated. However, when only a limited number of items are to be produced, the probability of no failures among the fleet of specified size provides a better measure of assurance. Assuming that the life distribution is one of a specified set of subclasses of those distributions which have increasing failure rates we find those derating functions which can be used to provide lower tolerance bounds of given confidence or a safe service life with specified fleet assurance. A method of finding such derating functions is exhibited and the calculation of a lower bound for the probability of no failure in the fleet is carried out when such derating functions are used. The confidence in the tolerance bound and the assurance of no fleet failure are compared when using bounds obtained from these derating functions. (Author)
A new family of life distributions by
Z. W Birnbaum(
Book
)
1 edition published in 1968 in English and held by 1 WorldCat member library worldwide
1 edition published in 1968 in English and held by 1 WorldCat member library worldwide
A Review of Miner's Rule and Subsequent Generalizations for Calculating Expected Fatigue Life(
Book
)
1 edition published in 1970 in English and held by 1 WorldCat member library worldwide
The paper reexamines the physical assumptions which were made by the originators of the MinerPalgren Rule for the calculation of fatigue life and cites publications which show that these assumptions, called the linear cumulative damage hypotheses, are contrary to our present knowledge about actual fatigue behavior. However, work is also discussed which provides evidence that Miner's Rule is better on the average in engineering applications than any other rule for fatigue life which has been advanced. The recent technical papers which resolve this supposed contradiction are referenced and the implications of their results explained in full detail. (Author)
1 edition published in 1970 in English and held by 1 WorldCat member library worldwide
The paper reexamines the physical assumptions which were made by the originators of the MinerPalgren Rule for the calculation of fatigue life and cites publications which show that these assumptions, called the linear cumulative damage hypotheses, are contrary to our present knowledge about actual fatigue behavior. However, work is also discussed which provides evidence that Miner's Rule is better on the average in engineering applications than any other rule for fatigue life which has been advanced. The recent technical papers which resolve this supposed contradiction are referenced and the implications of their results explained in full detail. (Author)
A NEW FAMILY OF LIFE DISTRIBUTIONS(
Book
)
1 edition published in 1968 in English and held by 1 WorldCat member library worldwide
A new twoparameter family of life length distributions is presented which is derived from a model for fatigue. This derivation follows from considerations of renewal theory for the number of cycles needed to force a fatigue crack extension to exceed a critical value. Some closure properties of this family are given and some comparisons made with other families such as the lognormal which have been previously used in fatigue studies
1 edition published in 1968 in English and held by 1 WorldCat member library worldwide
A new twoparameter family of life length distributions is presented which is derived from a model for fatigue. This derivation follows from considerations of renewal theory for the number of cycles needed to force a fatigue crack extension to exceed a critical value. Some closure properties of this family are given and some comparisons made with other families such as the lognormal which have been previously used in fatigue studies
Minimizing convex functions over a simplex(
Book
)
1 edition published in 1965 in English and held by 1 WorldCat member library worldwide
The authors present an iteration procedure to locate the minimum of a continuously differentiable strictly convex function over the unbounded simplex in Euclidean nspace, and prove that the procedure converges to the unique minimum. This procedure is constructed to facilitate its adaptation to machine programming. Applications of this procedure to maximum likelihood estimation in certain nonparametric cases are mentioned. (Author)
1 edition published in 1965 in English and held by 1 WorldCat member library worldwide
The authors present an iteration procedure to locate the minimum of a continuously differentiable strictly convex function over the unbounded simplex in Euclidean nspace, and prove that the procedure converges to the unique minimum. This procedure is constructed to facilitate its adaptation to machine programming. Applications of this procedure to maximum likelihood estimation in certain nonparametric cases are mentioned. (Author)
Maximum Likelihood Estimation for Two Parameter Decreasing Failure Rate Distributions Using Censored Data(
Book
)
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
Problems of maximum likelihood estimation, for shape and scale parameters from certain decreasing hazard rate distributions which are typically mixedexponential or workhardened, are discussed. Sufficient conditions on the mixing distribution are given that guarantee regular behavior of the hazard rate; this ensures, even with highly censored data, that the MLE's exist whenever the sample satisfies a certain condition quite likely in samples from DHR distribution; otherwise a constant hazard rate is assumed. Some computational methods are discussed and applications made. (Author)
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
Problems of maximum likelihood estimation, for shape and scale parameters from certain decreasing hazard rate distributions which are typically mixedexponential or workhardened, are discussed. Sufficient conditions on the mixing distribution are given that guarantee regular behavior of the hazard rate; this ensures, even with highly censored data, that the MLE's exist whenever the sample satisfies a certain condition quite likely in samples from DHR distribution; otherwise a constant hazard rate is assumed. Some computational methods are discussed and applications made. (Author)
Methodologies for predicting the service lives of coating systems by
Jonathan W Martin(
)
1 edition published in 1994 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Martin, Jonathan W.
 Jensen, Mark A.
 National Institute of Standards and Technology (U.S.)
 BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB
 Birnbaum, Z. W. Author
 WASHINGTON STATE UNIV PULLMAN Dept. of PURE AND APPLIED MATHEMATICS
 BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH
 Olkin, Ingram Author
 Myhre, Janet M.
 Whatcom Museum of History and Art
Associated Subjects
Algebra Artificial satellites Computer science Distribution (Probability theory) Fourier analysis Japan MaterialsDeteriorationMathematical models MaterialsFatigueMathematical models Mathematical statistics Multivariate analysis Nonparametric statistics Operating systems (Computers) Pacific Northwest Parameter estimation Probabilities Protective coatingsEvaluation Reliability Reliability (Engineering)Mathematical models Reliability (Engineering)Mathematics Reliability (Engineering)Statistical methods Samurai Service life (Engineering) Service life (Engineering)Mathematical models Statistical tolerance regions Statistics Surveillance radar Sword mountings Sword mountingsPrivate collections Swords SwordsPrivate collections System safety Topology Transformations (Mathematics)