Abstract
A problem of estimating stochastic characteristics of a population from a small number of samples is solved as an inverse problem, from view point of information theory and with the Bayesian statistics. For both Poisson-process and Bernoulli-process, the most probable values of the characteristics of the mother population and their accuracies and degrees of confidence are successfully obtained. Mathematical expressions are given to the general case where a limit amount of information and/or knowledge with the stochastic characteristics are available and a special case where no a priori information nor knowledge are available. Mathematical properties of the solutions obtained, practical appreciation to the problem to radiation measurement are also discussed.
Katoh, K
[1]
- Ibaraki Pref. Univ. Health Sci., (Japan)
Citation Formats
Katoh, K.
A technique of evaluating most probable stochastic valuables from a small number of samples and their accuracies and degrees of confidence.
Egypt: N. p.,
1996.
Web.
Katoh, K.
A technique of evaluating most probable stochastic valuables from a small number of samples and their accuracies and degrees of confidence.
Egypt.
Katoh, K.
1996.
"A technique of evaluating most probable stochastic valuables from a small number of samples and their accuracies and degrees of confidence."
Egypt.
@misc{etde_521444,
title = {A technique of evaluating most probable stochastic valuables from a small number of samples and their accuracies and degrees of confidence}
author = {Katoh, K}
abstractNote = {A problem of estimating stochastic characteristics of a population from a small number of samples is solved as an inverse problem, from view point of information theory and with the Bayesian statistics. For both Poisson-process and Bernoulli-process, the most probable values of the characteristics of the mother population and their accuracies and degrees of confidence are successfully obtained. Mathematical expressions are given to the general case where a limit amount of information and/or knowledge with the stochastic characteristics are available and a special case where no a priori information nor knowledge are available. Mathematical properties of the solutions obtained, practical appreciation to the problem to radiation measurement are also discussed.}
place = {Egypt}
year = {1996}
month = {Dec}
}
title = {A technique of evaluating most probable stochastic valuables from a small number of samples and their accuracies and degrees of confidence}
author = {Katoh, K}
abstractNote = {A problem of estimating stochastic characteristics of a population from a small number of samples is solved as an inverse problem, from view point of information theory and with the Bayesian statistics. For both Poisson-process and Bernoulli-process, the most probable values of the characteristics of the mother population and their accuracies and degrees of confidence are successfully obtained. Mathematical expressions are given to the general case where a limit amount of information and/or knowledge with the stochastic characteristics are available and a special case where no a priori information nor knowledge are available. Mathematical properties of the solutions obtained, practical appreciation to the problem to radiation measurement are also discussed.}
place = {Egypt}
year = {1996}
month = {Dec}
}