The efficiency of four estimators including m. l. estimator and moment estimator, for a parameter of mixing index in beta-binomial model is compared. The asymptotic variance of m. l. estimator is shown to be approximated with the minimum variance in a class of unbiased estimators, which are constituted with polynomials of second order. Appropriate combinations of sample size (n) and number of samples (r) are suggested for spot-sampling plan.
This paper describes a new and simple design procedure for life testing based on the Kullback-Leibler (hereafter K-L) information. Information theory is a special branch of probability theory. The K-L information is utilized as a criterion for measurement of the distance between the observed and the model probability distributions. In this paper we make the assumption that the length of life has a Weibull distribution. In the reliability literatures, the Weibull distribution is a popular parametic family of life-time distributyion. In the fixed time testing, it is attempted to determine the optimum censored time from the economic viewpoint.
Article type: Features 〔Application of Graphic Methods〕
1986Volume 16Issue 4 Pages
319-
Published: October 05, 1986
Released on J-STAGE: March 01, 2019
Article type: Features 〔Application of Graphic Methods〕
Subject area: Article
1986Volume 16Issue 4 Pages
320-324
Published: October 05, 1986
Released on J-STAGE: March 01, 2019
Article type: Features 〔Application of Graphic Methods〕
Subject area: Tutorial
1986Volume 16Issue 4 Pages
325-333
Published: October 05, 1986
Released on J-STAGE: March 01, 2019
Article type: Features 〔Application of Graphic Methods〕
Subject area: Tutorial
1986Volume 16Issue 4 Pages
334-340
Published: October 05, 1986
Released on J-STAGE: March 01, 2019
Article type: Features 〔Application of Graphic Methods〕
Subject area: Tutorial
1986Volume 16Issue 4 Pages
341-345
Published: October 05, 1986
Released on J-STAGE: March 01, 2019
Article type: Features 〔Application of Graphic Methods〕
Subject area: Tutorial
1986Volume 16Issue 4 Pages
346-354
Published: October 05, 1986
Released on J-STAGE: March 01, 2019
Article type: Features 〔Application of Graphic Methods〕
Subject area: Tutorial
1986Volume 16Issue 4 Pages
355-365
Published: October 05, 1986
Released on J-STAGE: March 01, 2019
Article type: Features 〔Application of Graphic Methods〕
Subject area: Tutorial
1986Volume 16Issue 4 Pages
366-373
Published: October 05, 1986
Released on J-STAGE: March 01, 2019