EstimatingP(Y < X) using Ranked Set Sampling in Case of the Exponential Distribution

DOI10.1080/03610920902912976zbMath1318.62029OpenAlexW2084502335MaRDI QIDQ3585285

Mohammad F. Saleh, Esam Al Sawi, Walid A. Abu-Dayyeh, Hassen A. Muttlak

Publication date: 19 August 2010

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

Full work available at URL: https://doi.org/10.1080/03610920902912976

zbMATH Keywords

efficiencymaximum likelihood estimatorranked set samplingsimple random samplingmodified maximum likelihood estimator

Mathematics Subject Classification ID

Point estimation (62F10) Sampling theory, sample surveys (62D05) Estimation in survival analysis and censored data (62N02)

Related Items (16)

Estimation of system reliability based on moving extreme and minimax ranked set sampling for exponential distributions ⋮ Estimation of system reliability for exponential distributions based on L ranked set sampling ⋮ Estimation of the system reliability for generalized inverse Lindley distribution based on different sampling designs ⋮ Parameter estimation for the exponential-Poisson distribution based on ranked set samples ⋮ Inference on \(P(X<Y)\) for bivariate normal distribution based on ranked set sample ⋮ Improved estimators for stress-strength reliability using record ranked set sampling scheme ⋮ Estimation of the stress–strength reliability using lower record ranked set sampling scheme under the generalized exponential distribution ⋮ Improved point and interval estimation of the stress–strength reliability based on ranked set sampling ⋮ Unnamed Item ⋮ Inference on P(Y < X) Based on Ranked Set Sample for Generalized Pareto Distribution ⋮ Unnamed Item ⋮ Inferences on stress–strength reliability based on ranked set sampling data in case of Lindley distribution ⋮ Reliability estimation of inverse Lomax distribution using extreme ranked set sampling ⋮ Unnamed Item ⋮ Inferences for stress–strength reliability of Burr Type X distributions based on ranked set sampling ⋮ Efficient reliability estimation in two-parameter exponential distributions

Cites Work

• Modified maximum likelihood estimators based on ranked set samples
• Estimation of the mean of the exponential distribution using moving extremes ranked set sampling
• Statistical quality control based on ranked set sampling
• A Note on the Estimation of Pr Y < X in the Exponential Case
• Unbiased estimation of parameters by order statistics in the case of censored samples
• Efficient Estimation of P(Y < X) in the Exponential Case
• Parametric and nonparametric estimation of P(Y < X) for finite mixtures of lognormal components
• Nonparametric Maximum Likelihood Estimation Based on Ranked Set Samples
• Regression Estimator in Ranked Set Sampling
• Shrinkage Estimation ofP(Y<X) in the Exponential Case

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