Use of Orthogonal Polynomial Approximations for Inference in Exponential Distribution Based on K-Sample Doubly Type-II Censored Data

DOI10.1080/03610920600920511zbMath1105.62019OpenAlexW2145834164MaRDI QIDQ3424187

Deepak Sanjel, Narayanaswamy Balakrishnan

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/10.1080/03610920600920511

zbMATH Keywords

exponential distributionsymbolic computationHermite polynomialsLaguerre polynomialsmaximum likelihood estimatesinterval estimationbest linear unbiased estimatorsdensity approximantsdoubly type-II censored samples

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Exact distribution theory in statistics (62E15) Approximations to statistical distributions (nonasymptotic) (62E17) Estimation in survival analysis and censored data (62N02)

Cites Work

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• Exact linear inference for scaled exponential distribution based on doubly type-ii censored samples
• Exact inference and prediction fork-sample exponential case under type-ii censoring
• Estimation from a censored sample for the exponential family
• Some Theorems Relevant to Life Testing from an Exponential Distribution

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