Experimental tests of a stochastic decision theory by Stanford University

(
Book
)
1
edition published
in
1958
in
English
and held by
2
libraries
worldwide

Optimal accelerated life designs for estimation by Herman Chernoff

(
Book
)
2
editions published
in
1960
in
English
and held by
2
libraries
worldwide

Optimal sequential designs are investigated for experiments to test whether a device subjected to a standard stress has an expected lifetime exceeding a specified value. It is assumed that the lifetime is exponentially distributed, with expectation a function of the stress and an unknown parameter; we assume this function is known (at least for some range of stresses). At each stage of experimentation, the experimenter chooses a stress level and obtains an observation of lif time at a cost proportional to the expected lifetime, i.e., proporional to the expected length of time requir d to obtain the obser ation. This cost may make it desirable to choose a greater than standard stress and perform an accelerated test. The case where the reciprocal of the expected life time is a quadratic function of stress is given particular attention. At each stage of experimentation, the optimal design involves randomizing between at most two stress levels. (Author)

Note on relative efficiency of tests by Colin Blyth

(
Book
)
1
edition published
in
1957
in
English
and held by
1
library
worldwide

Chains of infinite order and their application to learning theory by J Lamperti

(
Book
)
1
edition published
in
1958
in
English
and held by
1
library
worldwide

Calculation of axially symmetric cavities and jets by Paul Garabedian

(
Book
)
1
edition published
in
1955
in
English
and held by
1
library
worldwide

An isoperimetric equality, and related questions by Robert Finn

(
file
)
1
edition published
in
1961
in
English
and held by
1
library
worldwide

Let S be a piece of smooth two-dimensional surface. If circles of radius r on the surface are defined with respect to global conformal parameters on S, then an estimate of the ratio of the square of the length of the circle to the area of the circle is shown to be true for every complete simply-connected open surface on which the curvature is absolutely integrable. If certain smoothness hypotheses are satisfied by S at infinity, then these circles become, up to terms of negligible order, curves which are equidistant from a fixed point on S. In this sense, the image of a large circle in a plane on which S is represented conformally will be a circle on S. As corollaries of the method, asymptotic estimates for the lengths of the images of circles and of radial lines in such a reference plane are given, depending only on the curvatura integra

Statistical production models and continuous sampling plans by I. Richard Savage

(
Book
)
1
edition published
in
1956
in
English
and held by
1
library
worldwide

On the ratio of consecutive eigenvalues by Stanford University

(
Book
)
1
edition published
in
1955
in
English
and held by
1
library
worldwide

Note on estimating information by Colin Blyth

(
Book
)
1
edition published
in
1958
in
English
and held by
1
library
worldwide

Investigation was concerned with an estimation of the Shannon-Wiener measure of information. Low bias estimates are obtained, and their bias and variance. These estimates are extended to the case where the number of possible values of the random variable is not known. The estimates are compared asymptotically with the maximum likelihood estimates. Minimax estimates (squared error loss function) are found for a few very special cases

Variational methods in conformal mapping with applications to hydrodynamics by Peter William Shaw

(
Book
)
1
edition published
in
1957
in
English
and held by
1
library
worldwide