×

Stochastic properties of Topp-Leone generated family of distributions. (English) Zbl 07898928

MSC:

62-XX Statistics

References:

[1] Al-Zahrani B. Goodness-of-fit for the Topp-Leone distribution with unknown parameters. Appl Math Sci. 2012; 6(128): 6355-6363. · Zbl 1263.62077
[2] Al-Shomrani A, Arif O, Shawky A, Hanif S, Shahbaz MQ. Topp-Leone family of distributions: some properties and application. Pak J Stat Oper Res. 2016; 12(3): 443-451. · Zbl 1509.60026
[3] Aryal GR, Ortega EM, Hamedani GG, Yousof HM. The Topp-Leone generated Weibull distribution: regression model, characterizations and applications. Int J Stat Prob. 2017; 6(1): 126-141.
[4] Belzunce F, Ruiz JM, Ruiz MC. On preservation of some shifted and proportional orders by systems. Stat Prob Lett. 2002; 60(2): 141-154. · Zbl 1016.60022
[5] Belzunce F, Martínez-Riquelme C, Mulero J. An Introduction to Stochastic Orders. Amsterdam, Netherlands: Elsevier; 2016. · Zbl 1366.60001
[6] Burr IW. Cumulative frequency functions. Ann Math Stat. 1942; 13(2): 215-232. · Zbl 0060.29602
[7] Brito E, Cordeiro GM, Yousof HM, Alizadeh M, Silva GO. The Topp-Leone odd log-logistic family of distributions. J Stat Comput Simul. 2017; 87(15): 3040-3058. · Zbl 07192109
[8] Chandra NK, Roy D. Some results on reversed hazard rate. Prob. Eng. Inf. Sci. 2001; 15(01): 95-102. · Zbl 1087.62510
[9] Dorp JRV, Kotz S. Modeling income distributions using elevated distributions. In: Pleguezuelo RH, Cespedes JC, Velasco JMH, editors. Distribution Models Theory. Spain: World Scientific; 2006. pp. 1-25. · Zbl 1276.91068
[10] Fuller EJ, Frieman S, Quinn J, Quinn G, Carter W. Fracture mechanics approach to the design of glass aircraft windows: a case study. Proceedings SPIE, 1994; 2286: pp. 419-430.
[11] Genç Aİ. Moments of order statistics of Topp-Leone distribution. Stat. Pap. 2012; 53(1): 117-131. · Zbl 1241.62077
[12] Ghitany ME, Kotz S, Xie M. On some reliability measures and their stochastic orderings for the Topp Leone distribution. J Appl Stat. 2005; 32(7): 715-722. · Zbl 1121.62374
[13] Gross AJ, Clark VA. Survival distributions: reliability applications in the biometrical sciences. New York: John Wiley & Sons; 1975. · Zbl 0334.62044
[14] Kalbfleisch JD, Lawless JF. Inference based on retrospective ascertainment: an analysis of the data on transfusion-related AIDS. J Am Stat Assoc. 1989; 84(406): 360-372. · Zbl 0677.62099
[15] Kayid M, Ahmad IA. On the mean inactivity time ordering with reliability applications. Prob Eng Inf Sci. 2004; 18(3): 395-409. · Zbl 1059.62105
[16] Korkmaz M, Yousof HM, Alizadeh M, Hamedani GG. The Topp-Leone generalized odd log-logistic family of distributions: properties, characterizations and applications. Commun Fac Sci Univ Ank Ser A1 Math Stat. 2019; 68(2): 1506-1527. · Zbl 1492.60037
[17] Kotz S, Seier E. Kurtosis of the Topp-Leone distributions. InterStat. July 2007; 1-15.
[18] Lai CD, Xie M. Stochastic ageing and dependence for reliability. New York: Springer; 2006. · Zbl 1098.62130
[19] Lomax KS. Business failures: another example of the analysis of failure. J Am Stat Assoc. 1954; 49(268): 847-852. · Zbl 0056.13702
[20] Müller A, Stoyan D. Comparison methods for stochastic models and risks. New York: John Wiley & Sons; 2002. · Zbl 0999.60002
[21] Nadarajah S, Kotz S. Moments of some J-shaped distributions. J Appl Stat. 2003; 30(3): 311-317. · Zbl 1121.62448
[22] Pourdarvish A, Mirmostafaee SMTK, Naderi K. The exponentiated Topp-Leone distribution: properties and application. J Appl Environ Biol Sci. 2015; 5(7S): 251-256.
[23] Renyi A. On measures of entropy and information. Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability; California. University of California press; 1961. pp. 547-561. · Zbl 0106.33001
[24] Rezaei S, Sadr BB, Alizadeh M, Nadarajah S. Topp-Leone generated family of distributions: properties and applications. Commun Stat-Theory Methods. 2017; 46(6): 2893-2909. · Zbl 1367.62032
[25] Ramos-Romero HM, Sordo-Díaz MA. The proportional likelihood ratio order and applications. Questiio. 2001; 25(2): 211-223. · Zbl 1041.60020
[26] Saunders IW, Moran PAP. On the quantiles of the Gamma and F distributions. J Appl Prob. 1978; 15(2): 426-432. · Zbl 0401.62015
[27] Sebastian N, Rasin RS, Silviya PO. Topp-Leone generated q-exponential distribution and its applications. 2019. arXiv:1903.07028v1 [math.ST].
[28] Shaked M, Shanthikumar JG. Stochastic Orders. New York: Springer; 2007. · Zbl 1111.62016
[29] Sharma VK. Topp-Leone normal distribution with application to increasing failure rate data. J Stat Comput Simul. 2018; 88(9): 1782-1803. · Zbl 07192630
[30] Shekhawat K, Sharma VK. An extension of J-shaped distribution with application to tissue damage proportions in blood. 2020.
[31] Smith RL, Naylor JC. A comparison of maximum likelihood and bayesian estimators for the three-parameter Weibull distribution. J R Stat Soc Ser C Appl Stat. 1987; 36(3): 358-369.
[32] Topp CW, Leone FC. A family of J-shaped frequency functions. J Am Stat Assoc. 1955; 50(269): 209-219. · Zbl 0064.13601
[33] Vicaria D, Dorp JRV, Kotz S. Two-sided generalized Topp and Leone (TS-GTL) distributions. J Appl Stat. 2008; 35(10): 1115-1129. · Zbl 1273.62041
[34] Zhou M, Yang DW, Wang Y, Nadarajah S. Some J-shaped distributions: sums, products and ratios. RAMS ’06. Annual Reliability and Maintainability Symposium; 2006. pp. 175-181.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.