Exact likelihood inference for Laplace distribution based on type-II censored samples

DOI10.1016/j.jspi.2010.09.024zbMath1206.62032OpenAlexW2067423980MaRDI QIDQ619791

Narayanaswamy Balakrishnan, George Iliopoulos

Publication date: 18 January 2011

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2010.09.024

zbMATH Keywords

maximum likelihood estimatorsmixturesexact inferencepivotal quantitiestype-II censoringLaplace (double exponential) distributionlinear combinations of exponential order statistics

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Parametric hypothesis testing (62F03) Point estimation (62F10) Censored data models (62N01) Exact distribution theory in statistics (62E15)

Related Items (12)

Bayesian prediction bounds for the exponential-type distribution based on generalized progressive hybrid censoring scheme ⋮ Exact Likelihood-Based Point and Interval Estimation for Lifetime Characteristics of Laplace Distribution Based on a Time-Constrained Life-Testing Experiment ⋮ Estimating E-bayesian and hierarchical bayesian of scalar parameter of gompertz distribution under type II censoring schemes based on fuzzy data ⋮ Exact predictive likelihood inference for Laplace distribution based on a time-constrained experiment ⋮ Exact inference for the difference of Laplace location parameters ⋮ Laplace record data ⋮ Exact inferences of the two-parameter exponential distribution and Pareto distribution with censored data ⋮ Exact inference for Laplace distribution under progressive type-II censoring based on BLUEs ⋮ Exact prediction intervals for order statistics from the Laplace distribution based on the maximum-likelihood estimators ⋮ Exact Likelihood-Based Point and Interval Estimation for Lifetime Characteristics of Laplace Distribution Based on hybrid Type-I and Type-II Censored Data ⋮ Inference for the scale parameter of lifetime distribution ofk-unit parallel system based on progressively censored data ⋮ Exact likelihood-based point and interval estimation for Laplace distribution based on Type-II right censored samples

Uses Software

• bootstrap

Cites Work

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• Conditional independence of blocked ordered data
• 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
• Asymmetric Laplace laws and modeling financial data
• The exact density function of the ratio of two dependent linear combinations of chi-square variables
• Progressive censoring methodology: an appraisal (with comments and rejoinder)
• Conditional Confidence Intervals for Double Exponential Distribution Parameters
• The t-Statistic for a Double Exponential Distribution
• Maximum Likelihood Estimation of Laplace Parameters Based on Type-II Censored Samples
• A First Course in Order Statistics
• Asymptotic Distribution of Linear Combinations of Functions of Order Statistics with Applications to Estimation
• Interval Estimation for the Two-Parameter Double Exponential Distribution

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