OPTIMAL DECISION MAKING IN SELECTED GAMMA MODEL UNDER A GENERALIZED LOSS FUNCTION

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KIAPOUR A.; Naghizadeh Qomi m.

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Journal: Journal of Operational Research in its Applications Year:2018 | Volume:14 | Issue:4 (55) Page(s): 35-44

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Title

OPTIMAL DECISION MAKING IN SELECTED GAMMA MODEL UNDER A GENERALIZED LOSS FUNCTION

Author(s)

KIAPOUR A. | Naghizadeh Qomi m. | Issue Writer Certificate

Keywords

ADMISSIBLE DECISIONQ1

GAMMA DISTRIBUTIONQ1

CENSORED DATAQ1

Abstract

Let P1 and P 2 be two gamma independent populations that Pi has unknown scale parameter qi and common and known shape parameter a . Suppose that X1 and X2 are drown from P1 and P2, respectively, and the population corresponding to X (1)=min (X1, X2) and X (2)=max (X1 ,X2) is selected. The aim of this paper is to find the optimal decisions for the scale parameters qM and qJ from the selected gamma population under a generalized scale invariant loss function. To do this, we obtain admissible and inADMISSIBLE DECISIONs of the form cX (1) or cX (2) in a subclass of invariant decisions qM or qJ. Moreover, Bayes and generalized Bayes decisions of qM and qJ are obtained and we show that these decisions are admissible. We apply our results for CENSORED DATA and also for Weibull and Rayleigh distributions.

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APA: Copy

KIAPOUR, A., & Naghizadeh Qomi, m.. (2018). OPTIMAL DECISION MAKING IN SELECTED GAMMA MODEL UNDER A GENERALIZED LOSS FUNCTION. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 14(4 (55) ), 35-44. SID. https://sid.ir/paper/164514/en

Vancouver: Copy

KIAPOUR A., Naghizadeh Qomi m.. OPTIMAL DECISION MAKING IN SELECTED GAMMA MODEL UNDER A GENERALIZED LOSS FUNCTION. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2018;14(4 (55) ):35-44. Available from: https://sid.ir/paper/164514/en

IEEE: Copy

A. KIAPOUR, and m. Naghizadeh Qomi, “OPTIMAL DECISION MAKING IN SELECTED GAMMA MODEL UNDER A GENERALIZED LOSS FUNCTION,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 14, no. 4 (55) , pp. 35–44, 2018, [Online]. Available: https://sid.ir/paper/164514/en

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