Odds Exponential Log Logistic Distribution: Properties and Estimation

Abstract

Abstract:We propose a distribution called Odds Exponential Log Logistic Distribution (OELLD), which is an odds family of distribution. Its hazard rate is an increasing and decreasing function based on the value of the parameter. Explicit expressions for the ordinary moments, L-moments, quantile, generating functions, Bonferroni Curve, Lorenz Curve, Gini's index and order statistics are derived. The parameters of the proposed distribution are estimated by using maximum likelihood method and also illustrated by a lifetime data set.

The odd log-logistic generalized exponential distribution: Application on survival times of chemotherapy patients data

“…The second data set used here was the survival times (given in years) of a group comprising 46 patients treated with chemotherapy alone. This data set was earlier reported 18,30 ; doi: https://doi.org/10.1016/j.joems.2014.12.002, for ready reference, the survival times (years) are 0.047, 0.115, 0.121, 0.132, 0.164, 0.197, 0.203, 0.260, 0.282, 0.296, 0.334, Furthermore, the developed OLLGED fits were compared with other models like odd generalized exponential loglogistic distribution (OGELLD), 31 Type-II generalized log-logistic distribution (ELLD), 32 odd exponential log-logistic distribution (OELLD), 33 generalized exponential distribution (GED), 6 exponential distribution (ED) and log-logistic distribution (LLD) studied by. 25,34 The competency of the proposed model with other models is examined based on goodness-of-fit criteria such as the maximized log-likelihood under the model ( À2 b l), Akaike information criterion (AIC), Bayesian information criterion (BIC), Anderson-Darling (A * ), Cramer-von Mises (W * ) and Kolmogorov Smirnov (KS) statistic along with its p-value.…”

Survival analysis of cancer patients using a new Lomax Rayleigh distribution

“…Some other recent works on Pareto-Rayleigh distribution include different types of estimators (Jebeli & Deiri, 2020) and moments of generalized order statistics for Pareto-Rayleigh distribution (Alam et al, 2021). Newer generalized distributions with different generators are; generalized exponential power series distribution (Mahmoudi & Jafari, 2012), odds exponential log-logistic distribution (Rosaiah et al, 2017), and odd generalized exponential distribution loglogistic distribution (Rosaiah et al, 2016). (Rady et al, 2016) studied Power Lomax distribution and its applicability in estimating mean remission times of bladder cancer patients.…”