Exact prediction intervals for order statistics from the Laplace distribution based on the maximum-likelihood estimators

DOI10.1080/02331888.2013.766795zbMath1367.62073OpenAlexW2087966728MaRDI QIDQ5169787

S. M. T. K. MirMostafaee, George Iliopoulos

Publication date: 11 July 2014

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888.2013.766795

zbMATH Keywords

Laplace distributionmaximum-likelihood estimatorspredictive likelihood functionexact prediction intervalsratios of linear combinations of exponential random variables

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Point estimation (62F10) Censored data models (62N01) Order statistics; empirical distribution functions (62G30)

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Exact tests for outliers in Laplace samples ⋮ Exact Likelihood-Based Point and Interval Estimation for Lifetime Characteristics of Laplace Distribution Based on a Time-Constrained Life-Testing Experiment ⋮ On the computation of distributions of linear combinations of Laplace order statistics and their applications ⋮ Exact predictive likelihood inference for Laplace distribution based on a time-constrained experiment ⋮ Exact inference for the difference of Laplace location parameters ⋮ Exact inference for Laplace distribution under progressive type-II censoring based on BLUEs ⋮ Exact Likelihood-Based Point and Interval Estimation for Lifetime Characteristics of Laplace Distribution Based on hybrid Type-I and Type-II Censored Data ⋮ Exact likelihood-based point and interval estimation for Laplace distribution based on Type-II right censored samples

Cites Work

• Exact likelihood inference for Laplace distribution based on type-II censored samples
• Conditional independence of blocked ordered data
• Maximum likelihood prediction
• Conditional inference procedures for the Laplace distribution based on type-II right censored samples
• Maximum likelihood estimation of Laplace parameters based on general type-II censored examples
• Conditional Confidence Intervals for Double Exponential Distribution Parameters
• A First Course in Order Statistics
• Conditional inference procedures for the Laplace distribution when the observed samples are progressively censored.

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