Prediction intervals for the future record values from exponential distribution: comparative study

DOI10.1080/00949650008812005zbMath0966.62031OpenAlexW1974914113MaRDI QIDQ4500669

Adnan M. Awad, Mohammad Zayed Raqab

Publication date: 17 August 2001

Published in: Journal of Statistical Computation and Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00949650008812005

zbMATH Keywords

exponential distributionrecord valueschi-square distributionprediction intervalsF-distribution

Mathematics Subject Classification ID

Statistics of extreme values; tail inference (62G32)

Related Items

Distribution-free prediction intervals for the future current record statistics ⋮ Prediction of record values by using quantile regression curves and distortion functions ⋮ The mean residual of record values at the level of previous records ⋮ Maximum observed likelihood prediction of future record values ⋮ Comparison of estimators and predictors based on modified weibull records: Bayesian and non-Bayesian approaches ⋮ Maximum product of spacings prediction of future record values ⋮ Posterior Regret Γ-Minimax Estimation and Prediction with Applications onk-Records Data Under Entropy Loss Function ⋮ Statistical analysis for Kumaraswamy's distribution based on record data ⋮ Prediction for Pareto distribution based on progressively type-II censored samples ⋮ Bayesian estimation and prediction based on lognormal record values ⋮ Statistical analysis for geometric distribution based on records ⋮ Bayesian prediction ofk-record values based on progressively censored data from exponential distribution ⋮ Reconstruction of the past lower record values in a proportional reversed hazard rate model ⋮ Statistical inference based on record data from Pareto model ⋮ Estimation of Pr(X < Y) Using Record Values in the One and Two Parameter Exponential Distributions ⋮ Prediction intervals for future records and order statistics coming from two parameter exponential distribution ⋮ Prediction of \(k\)-records from a general class of distributions under balanced type loss functions ⋮ Reconstruction of past records ⋮ BAYESIAN ANALYSIS FOR THE BURR TYPE XII DISTRIBUTION BASED ON RECORD VALUES ⋮ Prediction intervals for generalized-order statistics with random sample size ⋮ Best prediction regions for future exponential record intervals ⋮ Comparative study for assessing the Pitman’s closeness of predictors based on exponential record data

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The future occurrence of records
• Maximum likelihood prediction
• Linear prediction of record values for the two parameter exponential distribution
• Median unbiasedness in an invariant prediction problem
• Limit laws for record values
• Records
• Characterizations of exponential distributions by independent non-stationary record increments
• Best Linear Unbiased Prediction in the Generalized Linear Regression Model
• On outstanding values in a sequence of random variables
• Optimum Estimators for Linear Functions of Location and Scale Parameters
• Setting of Tolerance Limits When the Sample is Large
• Record values and the exponential distribution