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Keywords:
Bathtub shaped hazard rate function; convex-concave shaped; ExpIntegralE function; regularized incomplete gamma function; reverse ‘J’ shaped; Shannon and Rényi entropy
Bathtub shaped hazard rate function; convex-concave shaped; ExpIntegralE function; regularized incomplete gamma function; reverse ‘J’ shaped; Shannon and Rényi entropy
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References:
[1] A. Akinsete, F. Famoye, C. Lee: The Beta-Pareto distribution. Statistics 42 (2008), 6, 547-563. MR 2465134
[2] L. J. Bain, M. Engelhardt: Introduction to Probability and Mathematical Statistics. Second edition. Duxbury Press, Boston 1991, pp. 250–259. MR 0750654
[3] W. Barreto-Souza, A. H. S. Santos, G. M. Cordeirob: The Beta generalized exponential distribution. Statist. Comput. Simul. 80 (2010), 159-172. MR 2603623
[4] K. Cooray, M. M. A. Ananda: A generalization of the half-normal distribution with applications to lifetime data. Comm. Statist. Theory Methods 37 (2008), 1323-1337. MR 2526464 | Zbl 1163.62006
[5] G. M. Cordeiro, A. J. Lemonte: The $\beta$-Birnbaum-Saunders distribution: An improved distribution for fatigue life modelling. Comput. Statist. Data Anal. 55 (2011), 1445-1461. MR 2741426
[6] G. M. Cordeiro, A. J. Lemonte: The beta Laplace distribution. Statist. Probab. Lett. 81 (2011), 973-982. MR 2803732 | Zbl 1221.60011
[7] N. Eugene, C. Lee, F. Famoye: The Beta-Normal distribution and its applications. Commun. Statist. Theory Methods 31 (2002), 4, 497-512. MR 1902307
[8] P. Feigl, M. Zelen: Estimation of exponential survival probabilities with concomitant information. Biometrics 21 (1965), 4, 826-838.
[9] R. D. Gupta, D. Kundu: Generalized exponential distributions. Austral. and New Zealand J. Statist. 41 (1999), 2, 173-188. MR 1705342 | Zbl 1007.62503
[10] M. C. Jones: Families of distributions arising from distributions of order statistics. Test 13 (2004), 1, 1-43. MR 2065642 | Zbl 1110.62012
[11] C. Kus: A new lifetime distribution. Comput. Statist. Data Anal. 51 (2007), 4497-4509. MR 2364461 | Zbl 1162.62309
[12] C. Lee, F. Famoye, O. Olumolade: The Beta-Weibull distribution. J. Statist. Theory Appl. 4 (2005), 2, 121-136. MR 2210672
[13] S. Nadarajah, S. Kotz: The Beta Gumbel distribution. Math. Probl. Engrg. 10 (2004), 323-332. MR 2109721 | Zbl 1068.62012
[14] S. Nadarajah, S. Kotz: The Beta exponential distribution. Reliability Engrg. System Safety 91 (2006), 689-697.
[15] S. Nadarajah, A. K. Gupta: The Beta Fréchet distribution. Far East J. Theor. Statist. 15 (2004), 15-24. MR 2108090 | Zbl 1074.62008
[16] P. F. Paranaíba, E. M. M. Ortega, G. M. Cordeiro, R. R. Pescim, M. A. R. Pascoa: The Beta Burr XII distribution with applications to lifetime data. Comput. Statist. Data Anal. 55 (2011), 1118-1136. MR 2736499
[17] R. R. Pescim, C. G. B. Demétrio, G. M. Cordeiro, E. M. M. Ortega, M. R. Urbano: The Beta generalized half-Normal distribution. Comput. Statist. Data Anal. 54 (2009), 945-957. MR 2580929
[18] E. Mahmoudi: The beta generalized Pareto distribution with application to lifetime data. Math. Comput. Simul. 81 (2011), 11, 2414-2430. MR 2811794 | Zbl 1219.62024
[19] G. O. Silva, E. M. M. Ortega, G. M. Cordeiro: The beta modified Weibull distribution. Lifetime Data Anal. 16 (2010), 409-430. MR 2657898
[20] K. Zografos, S. Nadarajah: Expressions for Rényi and Shannon entropies for multivariate distributions. Statist. Probab. Lett. 71 (2005), 71-84. MR 2125433 | Zbl 1058.62008
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