Bounded Risk Estimation of the Scale Parameter of a Gamma Distribution in a Two-Stage Sampling Procedure

2015 ◽  
Vol 34 (1) ◽  
pp. 25-38 ◽  
Author(s):  
Eisa Mahmoudi ◽  
Ghahraman Roughani Shahraki
Keyword(s):  
Gamma Distribution ◽  
Scale Parameter ◽  
Risk Estimation ◽  
Sampling Procedure ◽  
Two Stage ◽  
Bounded Risk ◽  
Bounded Risk Estimation

scholarly journals Bounded risk estimation of a finite population mean optimal strategies

1988 ◽  
Vol 7 (2) ◽  
pp. 91-109 ◽  
Author(s):  
Nitis Mukhopadhyay ◽  
Pranab Kumar Sen ◽  
Bikas Kumar Sinha
Keyword(s):  
Finite Population ◽  
Risk Estimation ◽  
Optimal Strategies ◽  
Population Mean ◽  
Bounded Risk ◽  
Bounded Risk Estimation

Bounded Risk Two-stage Estimation Procedure for a U(aq, bq) Distribution

2020 ◽  
pp. 000806832096334
Author(s):  
V. N. Kadam ◽  
H.S. Patil
Keyword(s):  
Stopping Time ◽  
Estimation Procedure ◽  
Sampling Procedure ◽  
Two Stage ◽  
Assigned Value ◽  
Q Model ◽  
Bounded Risk ◽  
Stage Estimation ◽  
Assigned Number ◽  
Uniformly Bounded

In the literature, an extensive work on sequential fixed-width confidence interval for the parameter of U( q, m q) model, where m > 1 is known, is available. In this article, we propose a two-stage sampling procedure for estimating the parameter q of U( aq, bq) distribution, where a < b are positive and known. Here, the risk of an estimator [Formula: see text] of q is less than a pre-assigned number w (>0), that is, [Formula: see text], 0 < A < ∞ is known. We determine the parameter Bk of stopping variable so that the risk is uniformly bounded by a pre-assigned value w. We have also tabulated the values of the expected stopping time and its standard deviation (SD).

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