Prediction of future observations based on ordered extreme k-records ranked set sampling with unequal fixed and random sample sizes

被引：0

作者：

Newer, Haidy A. ^{[1
]}

机构：

[1] Ain Shams Univ, Fac Educ, Dept Math, Cairo 11511, Egypt

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2024年 / 445卷

关键词：

Ordered k-records ranked set sampling; Random sample size; Monte Carlo simulation; Predication interval; Probability coverage; Average width; EXPONENTIAL-DISTRIBUTION; RAYLEIGH DISTRIBUTION; BAYESIAN PREDICTION; STATISTICS; INTERVALS; INFERENCE; VALUES; MODEL;

D O I：

10.1016/j.cam.2024.115798

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The construction of prediction intervals for future Rayleigh observations in the context of ordered extreme k -record ranked set sampling based on unequal random and non-random sample sizes is proposed in this study using two pivotal statistics. The distribution functions of the pivotal statistics are obtained in explicit form. Certain cases for the random sample size are analysed. Moreover, a simulation study is constructed to demonstrate the practical importance of the theoretical results. Finally, two real data sets illustrate and corroborate the theoretical results.

引用

页数：15

共 12 条

[1] Ordered maximum ranked set sampling with unequal sample
Basikhasteh, Mehdi
Lak, Fazlollah
Tahmasebi, Saeid
[J]. STATISTICS, 2020, 54 (04) : 856 - 870
[2] Parametric estimation of location and scale parameters based on ranked set sampling with unequal set sizes
Biradar, B. S.
[J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2024, 53 (05) : 2119 - 2134
[3] Exact prediction intervals for future exponential and Pareto lifetimes based on ordered ranked set sampling of non-random and random size
Barakat, H. M.
Newer, Haidy A.
[J]. STATISTICAL PAPERS, 2022, 63 (06) : 1801 - 1827
[4] Exact prediction intervals for future exponential and Pareto lifetimes based on ordered ranked set sampling of non-random and random size
H. M. Barakat
Haidy A. Newer
[J]. Statistical Papers, 2022, 63 : 1801 - 1827
[5] Estimation of Gumbel Distribution Based on Ordered Maximum Ranked Set Sampling with Unequal Samples
Hassan, Nuran Medhat
Alamri, Osama Abdulaziz
[J]. AXIOMS, 2024, 13 (04)
[6] Prediction of order statistics and record values based on ordered ranked set sampling
Salehi, Mahdi
Ahmadi, Jafar
Balakrishnan, N.
[J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2015, 85 (01) : 77 - 88
[7] Bayesian inference and prediction of the Pareto distribution based on ordered ranked set sampling
El-Din, Mostafa M. Mohie
Kotb, Mohamed S.
Abd-Elfattah, Ehab F.
Newer, Haidy A.
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (13) : 6264 - 6279
[8] Bayesian inference and prediction of the Rayleigh distribution based on ordered ranked set sampling
Kotb, Mohammed S.
Raqab, Mohammad Z.
[J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2018, 47 (03) : 905 - 923
[9] PREDICTION INTERVALS FOR CHARACTERISTICS OF FUTURE NORMAL SAMPLE UNDER MOVING RANKED SET SAMPLING
Al-Rawwash, M.
Alodat, M. T.
Aludaat, K. M.
Odat, N.
Muhaidat, R.
[J]. STATISTICA, 2010, 70 (02): : 137 - 152
[10] Bayesian prediction of order statistics with fixed and random sample sizes based on k-record values from Pareto distribution
Shafay, A. R.
Balakrishnan, N.
Ahmadi, Jafar
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (02) : 721 - 735

← 1 2 →