Estimation of the shape and scale parameters of Pareto distribution using ranked set sampling

DOI10.1007/s00362-011-0420-3zbMath1256.62011OpenAlexW2093367202MaRDI QIDQ1935681

Yanyan Li

Publication date: 19 February 2013

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00362-011-0420-3

zbMATH Keywords

Fisher informationbiasmean square errorsimple random samplingshape parametermaximum likelihood estimators (MLEs)method of moment estimators (MOMEs)

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Point estimation (62F10) Sampling theory, sample surveys (62D05)

Related Items (14)

Maximum likelihood estimator of the parameter for a continuous one-parameter exponential family under the optimal ranked set sampling ⋮ Efficient empirical Bayes estimates for risk parameters of Pareto distributions ⋮ Efficiency comparisons for partially rank-ordered set sampling ⋮ Fisher information for generalized Rayleigh distribution in ranked set sampling design with application to parameter estimation ⋮ Log-extended exponential-geometric parameters estimation using simple random sampling and moving extremes ranked set sampling ⋮ Ranked set sampling with lowest order statistics for Pareto distribution ⋮ Rayleigh distribution revisited via ranked set sampling ⋮ Maximum likelihood estimators of the parameters of the log-logistic distribution ⋮ Log-logistic parameters estimation using moving extremes ranked set sampling design ⋮ Parameter estimation of generalized Rayleigh distribution based on ranked set sample ⋮ The global minimum variance unbiased estimator of the parameter for a truncated parameter family under the optimal ranked set sampling ⋮ Estimation of parameters of Nadarajah-Haghighi extension of the exponential distribution using perfect and imperfect ranked set sample ⋮ Parameter estimation for the Pareto distribution based on ranked set sampling ⋮ Inferences for stress–strength reliability of Burr Type X distributions based on ranked set sampling

Cites Work

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• Modified inference about the mean of the exponential distribution using moving extreme ranked set sampling
• Modified maximum likelihood estimators based on ranked set samples
• Estimation of the mean of the exponential distribution using moving extremes ranked set sampling
• On the estimation of the population mean based on ordered samples from an equicorrelated multivariate distribution
• Ranked Set Sampling Theory with Order Statistics Background
• Unbiased estimation of parameters by order statistics in the case of censored samples
• The Pareto Distribution as a Queue Service Discipline

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