THE LENGTH-BIASED POWERED INVERSE RAYLEIGH DISTRIBUTION WITH APPLICATIONS

被引:2
|
作者
Mustafa, Abdelfattah [1 ]
Khan, M., I [2 ]
机构
[1] Mansoura Univ, Fac Sci, Math Dept, Mansoura 35516, Egypt
[2] Islamic Univ Madinah, Fac Sci, Math Dept, Medina, Saudi Arabia
来源
关键词
Length-biased; power inverse Rayleigh distribution; maximum likelihood estimation;
D O I
10.14317/jami.2022.001
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This article introduces a new distribution called length-biased powered inverse Rayleigh distribution. Some of its statistical properties are derived. Maximum likelihood procedure is applied to report the point and interval estimations of all model parameters. The proposed distribution is also applied to two real data sets for illustrative purposes.
引用
收藏
页码:1 / 13
页数:13
相关论文
共 50 条
  • [1] The Length-Biased Gamma-Rayleigh Distribution with Applications
    Chaito, Tanachot
    Nanthaprut, Pimwarat
    Nakharutai, Nawapon
    Khamkong, Manad
    [J]. THAILAND STATISTICIAN, 2022, 20 (02): : 293 - 307
  • [2] The Length-Biased Weighted Lindley Distribution with Applications
    Yupapin Atikankul
    Ampai Thongteeraparp
    Winai Bodhisuwan
    A. Volodin
    [J]. Lobachevskii Journal of Mathematics, 2020, 41 : 308 - 319
  • [3] The Length-Biased Weighted Lindley Distribution with Applications
    Atikankul, Yupapin
    Thongteeraparp, Ampai
    Bodhisuwan, Winai
    Volodin, A.
    [J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2020, 41 (03) : 308 - 319
  • [4] Mean residual weighted versus the length-biased Rayleigh distribution
    Feizjavadian, S. H.
    Hashemi, R.
    [J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2015, 85 (14) : 2823 - 2838
  • [5] The Length-Biased Weibull-Rayleigh Distribution for Application to Hydrological Data
    Chaito, Tanachot
    Khamkong, Manad
    [J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2021, 42 (13) : 3253 - 3265
  • [6] Statistical inference based on the length-biased data for the inverse Gaussian distribution
    Gupta, RC
    Akman, O
    [J]. STATISTICS, 1998, 31 (04) : 325 - 337
  • [7] A Generalization of Length-biased Nakagami Distribution
    Abdullahi, Ibrahim
    Phaphan, Wikanda
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2022, 17 (01): : 21 - 31
  • [8] Length-biased Weighted Maxwell Distribution
    Modi, Kanak
    Gill, Vinod
    [J]. PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2015, 11 (04) : 465 - 472
  • [9] Parameter Estimation for Re-Parameterized Length-Biased Inverse Gaussian Distribution
    Budsaba, Kamon
    Phaphan, Wikanda
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2022, 17 (01): : 107 - 121
  • [10] On the convoluted gamma to length-biased inverse Gaussian distribution and application in financial modeling
    Naik, Shanoja
    [J]. JOURNAL OF STATISTICS & MANAGEMENT SYSTEMS, 2021, 24 (07): : 1581 - 1600