Sociological Models Based on Fréchet Random Variables

Abstract

Frechet distribution, products of random variables,

A New Distribution for Extreme Values: Regression Model, Characterizations and Applications

“…Once Fisher and Tippett (1928) proved that the limiting distribution of the extreme values can only be one of the three types (Gumbel, and its applications, see Kotz and Nadarajah (2000). Moreover, applications of this distribution in various fields are given in Harlow (2002).Recently, some extensions of the Fréchet distribution were considered e.g., the exponentiated Fréchet by , beta Fréchet by Nadarajah and Gupta (2004), Nadarajah and Kotz (2008) and Zaharim et al(2009) respectively. For = 1, we obtain the Topp-Leone family.…”

Extended Poisson-Frechet Distribution: Mathematical Properties and Applications to Survival and Repair Times

“…Recently, some extensions of the Fr distribution were considered. The exponentiated Fr by Nadarajah and Kotz (2003), beta Fr by Nadarajah and Gupta (2004), Nadarajah and Kotz (2008)…”

A new three parameter Fréchet model with mathematical properties and applications

“…Recently, some new useful contributions were added for expanding the E.V.T such as the exponentiated-Fr (Exp-Fr) by Nadarajah and Kotz [8] who presented useful theoretical result, Nadarajah and Gupta [9] introduced and studied the beta-Fr (B-Fr), Nadarajah and Kotz [10] discussed the sociological models based on Fr rvs, Zaharim et al [11] applied the Fr model for analysing the wind speed data, Barreto-Souza et al [12] and Mubarak [13] studied the Fr progressive type-II censored data, Krishna et al [14] proposed and studied the Marshall-Olkin-Fr (MO-Fr) and derived some new important properties of the new model along with some applications to extreme value data, Mahmoud and Mandouh [15] studied the transmuted-Fr (T-Fr), da Silva et al [16] proposed the gamma extended-Fr (GamE-Fr) with some new real extreme data, Yousof et al [17] studied the transmuted exponentiated generalized-Fr (TEG-Fr). Mead et al [18] studied the beta exponential-Fr (BE-Fr), Korkmaz et al [19] studied the odd Lindley-Fr distribution (OL-Fr) with application to survival times, exceedances of flood peaks and breaking stress of carbon fibres data.…”