Unbiased Estimation of the Distribution Function of an Exponential Population Using Order Statistics with Application in Ranked Set Sampling

DOI10.1080/03610920600683663zbMath1105.62040OpenAlexW2095077653MaRDI QIDQ3424185

Samindra Nath Sengupta, Bikas Kumar Sinha, Sujay Mukhuti

Publication date: 15 February 2007

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920600683663

zbMATH Keywords

order statisticsdistribution functionranked set samplingsimple random samplingunbiased estimatorexponential population

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Point estimation (62F10) Sampling theory, sample surveys (62D05) Order statistics; empirical distribution functions (62G30)

Related Items (5)

A New Generalized Newsvendor Model with Random Demand and Cost Misspecification ⋮ Unbiased estimation of reliability function from a mixture of two exponential distributions based on a single observation ⋮ Unbiased Estimation ofP(X > Y) for Exponential Populations Using Order Statistics with Application in Ranked Set Sampling ⋮ Unbiased estimation ofP(X>Y) for two-parameter exponential populations using order statistics ⋮ Unbiased Estimation of the Distribution Function of a Two-Parameter Exponential Population Using Order Statistics

Cites Work

• Unbiased variance estimation in a simple exponential population using ranked set samples
• Characterization of a Ranked-Set Sample with Application to Estimating Distribution Functions
• Reliability estimation based on ranked set sampling
• Minimum Variance Unbiased and Maximum Likelihood Estimators of Reliability Functions for Systems in Series and in Parallel
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