A New Bimodal Distribution for Modeling Asymmetric Bimodal Heavy-Tail Real Lifetime Data

被引：6
作者：
Butt, Nadeem S. [1 ]
Khalil, Mohamed G. [2 ]
机构：
[1] Rabigh King Abdul Aziz Univ, Dept Family & Community Med, Jeddah 21589, Saudi Arabia
[2] Benha Univ, Dept Stat Math & Insurance, Banha 13518, Egypt
来源：
SYMMETRY-BASEL | 2020年 / 12卷 / 12期
关键词：
Burr-type X distribution; modeling; hazard function; GENERAL EXPONENTIAL CLASS; G FAMILY; MATHEMATICAL PROPERTIES; WEIBULL DISTRIBUTION; PREDICTION; INFERENCE;
D O I：
10.3390/sym12122058
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We introduced and studied a new generalization of the Burr type X distribution. Some of its properties were derived and numerically analyzed. The new density can be "right-skewed" and symmetric with "unimodal" and many "bimodal" shapes. The new failure rate can be "increasing," "bathtub," "J-shape," "decreasing," "increasing-constant-increasing," "reversed J-shape," and "upside-down (reversed U-shape)." The usefulness and flexibility of the new distribution were illustrated by means of four asymmetric bimodal right- and left-heavy tail real lifetime data.
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页码：1 / 27
页数：27
相关论文
共 53 条
  • [1] Abouelmagda T.H.M., 2019, J. Nonlinear Sci. Appl., V12, P152, DOI 10.22436/jnsa.012.03.03
  • [2] Empirical Bayes estimation of P(Y<X) and characterizations of Burr-type X model
    Ahmad, KE
    Fakhry, ME
    Jaheen, ZF
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1997, 64 (02) : 297 - 308
  • [3] A New Flexible Three-Parameter Model: Properties, Clayton Copula, and Modeling Real Data
    Al-babtain, Abdulhakim A.
    Elbatal, I.
    Yousof, Haitham M.
    [J]. SYMMETRY-BASEL, 2020, 12 (03):
  • [4] Ali M. M., 2020, Optim. Decis. Mak. Oper. Res. Stat. Methodol. Appl., V1, P26
  • [5] Prolonged retained intracanalicular mini-monoka stent mimicking a canalicular concretion
    Ali, Mohammad Javed
    [J]. ORBIT-THE INTERNATIONAL JOURNAL ON ORBITAL DISORDERS-OCULOPLASTIC AND LACRIMAL SURGERY, 2021, 40 (02): : 167 - 168
  • [6] Odd-Burr generalized family of distributions with some applications
    Alizadeh, Morad
    Cordeiro, Gauss M.
    Nascimento, Abraao D. C.
    Lima, Maria do Carmo S.
    Ortega, Edwin M. M.
    [J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2017, 87 (02) : 367 - 389
  • [7] Aryal G.R., 2017, STOCH QUAL CONTROL, V32, P7, DOI [10.1515/eqc-2017-0004, DOI 10.1515/EQC-2017-0004]
  • [8] ACQUISITION OF RESISTANCE IN GUINEA PIGS INFECTED WITH DIFFERENT DOSES OF VIRULENT TUBERCLE BACILLI
    BJERKEDAL, T
    [J]. AMERICAN JOURNAL OF HYGIENE, 1960, 72 (01): : 130 - 148
  • [9] Bourguignon M., 2014, J DATA SCI, V12, P53, DOI DOI 10.6339/JDS.201401_12(1).0004
  • [10] The Topp-Leone odd log-logistic family of distributions
    Brito, E.
    Cordeiro, G. M.
    Yousof, H. M.
    Alizadeh, M.
    Silva, G. O.
    [J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2017, 87 (15) : 3040 - 3058
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