New Modified Burr III Distribution, Properties and Applications

被引:3
作者
Jamal, Farrukh [1 ]
Abuzaid, Ali H. [2 ]
Tahir, Muhammad H. [1 ]
Nasir, Muhammad Arslan [3 ]
Khan, Sadaf [1 ]
Mashwani, Wali Khan [4 ]
机构
[1] Islamia Univ Bahawalpur, Dept Stat, Bahawalpur 63100, Pakistan
[2] Al Azhar Univ Gaza, Dept Math, POB 1277, Gaza, Palestine
[3] Govt Sadiq Egerton Coll Bahawalpur, Dept Stat, Bahawalpur 63100, Pakistan
[4] Kohat Univ Sci & Technol, Inst Numer Sci, Kohat 26000, Pakistan
关键词
Burr III distribution; stochastic ordering; middle-censoring; order statistics; WEIBULL DISTRIBUTION; EXTENSION; PARAMETER; FAMILY; MODEL;
D O I
10.3390/mca26040082
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, Burr III distribution is proposed with a significantly improved functional form. This new modification has enhanced the flexibility of the classical distribution with the ability to model all shapes of hazard rate function including increasing, decreasing, bathtub, upside-down bathtub, and nearly constant. Some of its elementary properties, such as rth moments, sth incomplete moments, moment generating function, skewness, kurtosis, mode, ith order statistics, and stochastic ordering, are presented in a clear and concise manner. The well-established technique of maximum likelihood is employed to estimate model parameters. Middle-censoring is considered as a modern general scheme of censoring. The efficacy of the proposed model is asserted through three applications consisting of complete and censored samples.
引用
收藏
页数:17
相关论文
共 35 条
  • [1] On the robustness of right andmiddle censoring schemes in parametric survival models
    Abuzaid, A. H.
    Abu El-Qumsan, M. K.
    El-Habil, A. M.
    [J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2017, 46 (03) : 1771 - 1780
  • [2] The estimation of the Burr-XII parameters with middle-censored data
    Abuzaid, Ali H.
    [J]. SPRINGERPLUS, 2015, 4
  • [3] Ali A., 2015, PAK J STAT, V31, P697
  • [4] A New Five - Parameter Lifetime Model: Theory and Applications
    Aljouiee, Abdullah
    Elbatal, Ibrahim
    Al-Mofleh, Hazem
    [J]. PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2018, 14 (02) : 403 - 420
  • [5] A new modified Weibull distribution
    Almalki, Saad J.
    Yuan, Jingsong
    [J]. RELIABILITY ENGINEERING & SYSTEM SAFETY, 2013, 111 : 164 - 170
  • [6] Arifa S., 2017, Journal of Data Science, V15, P41, DOI [10.6339/JDS.201701_15(1).0003, DOI 10.6339/JDS.201701_15(1).0003]
  • [7] A flexible Weibull extension
    Bebbington, Mark
    Lai, Chin-Diew
    Zitikis, Ricardas
    [J]. RELIABILITY ENGINEERING & SYSTEM SAFETY, 2007, 92 (06) : 719 - 726
  • [8] Bennett N.A., 2011, THESIS U CALIFORNIA
  • [9] Bhatti F. A., 2019, Journal of Statistical Distributions and Applications, V6, P1, DOI [10.1186/s40488-019-0101-7, DOI 10.1186/S40488-019-0101-7]
  • [10] Cumulative frequency functions
    Burr, IW
    [J]. ANNALS OF MATHEMATICAL STATISTICS, 1942, 13 : 215 - 232