A Two-Parameter Weighted Sujatha Distribution and Its Application

被引:0
作者
Shanker, Rama [1 ]
Shukla, Kamlesh Kumar [1 ]
机构
[1] Eritrea Inst Technol, Coll Sci, Dept Stat, Asmera, Eritrea
来源
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS | 2018年 / 57卷 / 03期
关键词
Sujatha distribution; Moments; Reliability Properties; Stochastic ordering; Maximum likelihood estimation; Application;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper a two-parameter weighted Sujatha distribution which includes one parameter Sujatha distribution proposed by Shanker(2016 a) as a particular case has been suggested for modeling lifetime data. Some of its properties including shapes of probability density function, moments based measures including coefficients of variation, skweness, kurtosis, and index of dispersion; hazard rate function, mean residual life function and stochastic ordering have been studied. Method of maximum likelihood estimation has been discussed for estimating the parameters. The goodness of fit of the proposed distribution has been explained with a real lifetime data and the fit has been found to be quite satisfactory over well-known one parameter and two- parameter lifetime distributions.
引用
收藏
页码:106 / 121
页数:16
相关论文
共 50 条
[21]   A NEW TWO-PARAMETER LIFETIME DISTRIBUTION WITH FLEXIBLE HAZARD RATE FUNCTION: PROPERTIES, APPLICATIONS AND DIFFERENT METHOD OF ESTIMATIONS [J].
Hashempour, Majid .
MATHEMATICA SLOVACA, 2021, 71 (04) :983-1004
[22]   Inference based on partly interval censored data from a two-parameter Rayleigh distribution [J].
Al-Mosawi, Riyadh Rustam ;
Dey, Sanku .
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2021, 91 (12) :2527-2550
[23]   A New Extended Two-Parameter Distribution: Properties, Estimation Methods, and Applications in Medicine and Geology [J].
Al-Mofleh, Hazem ;
Afify, Ahmed Z. ;
Ibrahim, Noor Akma .
MATHEMATICS, 2020, 8 (09)
[24]   Estimation based on ranked set sampling for the two-parameter Birnbaum-Saunders distribution [J].
Pedroso, Vinicius Cesar ;
Taconeli, Cesar Augusto ;
Giolo, Suely Ruiz .
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2021, 91 (02) :316-333
[25]   Bootstrap-based improved estimators for the two-parameter Birnbaum-Saunders distribution [J].
Lemonte, Artur J. ;
Simas, Alexandre B. ;
Cribari-Neto, Francisco .
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2008, 78 (01) :37-49
[26]   The unit-inverse Gaussian distribution: A new alternative to two-parameter distributions on the unit interval [J].
Ghitany, M. E. ;
Mazucheli, J. ;
Menezes, A. F. B. ;
Alqallaf, F. .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2019, 48 (14) :3423-3438
[27]   Statistical inference for a two-parameter Rayleigh distribution under generalized progressive hybrid censoring scheme [J].
Xin, Ying ;
Zhou, Bingchang ;
Tang, Yaning ;
Zhang, You .
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2024, 94 (10) :2236-2272
[28]   Inference in a two-parameter generalized order statistics model [J].
Bedbur, S. ;
Kamps, U. .
STATISTICS, 2017, 51 (05) :1132-1142
[29]   A weighted Poisson distribution and its application to cure rate models [J].
Balakrishnan, N. ;
Koutras, M. V. ;
Milienos, F. S. .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2018, 47 (17) :4297-4310
[30]   Inference of the two-parameter Lindley distribution based on progressive type II censored data with random removals [J].
Sharafi, Maryam .
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2022, 51 (04) :1967-1981