MINIMAX ESTIMATOR OF A LOWER BOUNDED PARAMETER OF A DISCRETE DISTRIBUTION UNDER A SQUARED LOG ERROR LOSS FUNCTION

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NEMATOLLAHI N.; JAFARI TABRIZI N.

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Journal: Journal of Sciences, Islamic Republic of Iran Year:2012 | Volume:23 | Issue:1 Page(s): 77-84

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Title

MINIMAX ESTIMATOR OF A LOWER BOUNDED PARAMETER OF A DISCRETE DISTRIBUTION UNDER A SQUARED LOG ERROR LOSS FUNCTION

Author(s)

NEMATOLLAHI N. | JAFARI TABRIZI N. | Issue Writer Certificate

Keywords

BAYES ESTIMATORQ2

BOUNDED PARAMETER SPACEQ2

DISCRETE DISTRIBUTIONQ2

MINIMAX ESTIMATIONQ2

SQUARED LOG ERROR LOSS FUNCTIONQ2

Abstract

The problem of estimating the parameter q, when it is restricted to an interval of the form [m,1], in a class of DISCRETE DISTRIBUTIONs, including Binomial(k, q), Negative Binomial(r, q), discrete Weibull(q) and etc., is considered. We give necessary and sufficient conditions for which the BAYES ESTIMATOR of q, with respect to a two points boundary supported prior is minimax under SQUARED LOG ERROR LOSS FUNCTION. For some of the distributions in this class, we give numerical values of the smallest values of m for which the corresponding BAYES ESTIMATOR of q is minimax.

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APA: Copy

NEMATOLLAHI, N., & JAFARI TABRIZI, N.. (2012). MINIMAX ESTIMATOR OF A LOWER BOUNDED PARAMETER OF A DISCRETE DISTRIBUTION UNDER A SQUARED LOG ERROR LOSS FUNCTION. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, 23(1), 77-84. SID. https://sid.ir/paper/84127/en

Vancouver: Copy

NEMATOLLAHI N., JAFARI TABRIZI N.. MINIMAX ESTIMATOR OF A LOWER BOUNDED PARAMETER OF A DISCRETE DISTRIBUTION UNDER A SQUARED LOG ERROR LOSS FUNCTION. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN[Internet]. 2012;23(1):77-84. Available from: https://sid.ir/paper/84127/en

IEEE: Copy

N. NEMATOLLAHI, and N. JAFARI TABRIZI, “MINIMAX ESTIMATOR OF A LOWER BOUNDED PARAMETER OF A DISCRETE DISTRIBUTION UNDER A SQUARED LOG ERROR LOSS FUNCTION,” JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, vol. 23, no. 1, pp. 77–84, 2012, [Online]. Available: https://sid.ir/paper/84127/en

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