Abstract
The class of distributions
\( \Im = \left\{ {H{:}\,H(x) = \left[ {G(x)} \right]^{\alpha } } \right\} \), where H is defined by (1.1.5), shall be called class of exponentiated distributions.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
AL-Hussaini, E.K.: Inference based on censored samples from exponentiated populations. Test 19, 487–513 (2010a)
AL-Hussaini, E.K.: On the exponentiated class of distributions. J. Statist. Theory Appl 9, 41–64 (2010b)
Cramer, E., Kamps, U.: Sequential order statistics and k-out-of-n systems with sequentially adjusted failure rates. Ann. Instit. Statist. Math. 48, 535–549 (1996)
Gradshteln, I.S., Ryshik, I.M.: Tables of Integrals, Series and Products. Academic Press, New York (1980)
Gupta, R.C., Gupta, P.L., Gupta, R.D.: Modeling failure time data by Lehmann alternatives. Commun. Statist. Theory Meth. 27, 887–904 (1998)
Gupta, R.C., Gupta, R.D.: Proportional reversed hazard rate model and its applications. J. Statist. Plann. Inf. 137, 3525–3536 (2007)
Hoffman, G., Nagaraja, H.N.: Random and Poisson paced record models in the F α set up. J. Appl. Prob. 37, 374–388 (2000)
Hoffman, G., Nagaraja, H.N.: A random power record model. Statist. Prob. Lett. 56, 345–353 (2002)
Hogg, R.V., McKean, J.W., Craig, A.T.: Introduction to Mathematical Statistics, 6th edn. Prentice Hall, USA (2005)
Kundu, D., Gupta, R.D.: Generalized exponential distribution: bayes estimations. Comput. Statst. Data Anal. 52, 1873–1883 (2008)
Mudholkar, G.S., Hutson, A.D.: The exponentiated Weibull family: some properties and a flood data application. Commun. Statist. Theory Meth. 25, 3059–3083 (1996)
Nagaraja, H.N., Hoffman, G.: Inter-record times in Poisson paced F α models. In: Balakrishnan, N., Ibragimov, X. Nevzorov, V.B. (Eds.) Atsymptotic methods in probability and statistics with applications. Chapter 26, pp. 363–374, Burkhä-user, Boston (2001)
Sarabia, J.M., Castillo, E.: About a class of max-stable families with applications to income distributions. Metron LXIII, 505–527 (2005)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2015 Atlantis Press and the authors
About this chapter
Cite this chapter
AL-Hussaini, E.K., Ahsanullah, M. (2015). Basic Properties, Estimation and Prediction Under Exponentiated Distributions. In: Exponentiated Distributions. Atlantis Studies in Probability and Statistics, vol 5. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-079-9_2
Download citation
DOI: https://doi.org/10.2991/978-94-6239-079-9_2
Published:
Publisher Name: Atlantis Press, Paris
Print ISBN: 978-94-6239-078-2
Online ISBN: 978-94-6239-079-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)