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44 articles for “exponential distribution”
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Research ArticleOpen accessPhrase in the titleOn Using Conventional and TL moments for the Estimation of a Mixture of Exponential Distributions, A Theoretical ReviewHabib Ahmed ElsayirThis paper focuses on derivation of a mixture of exponential distribution and Linear Moments (LM) and Trimmed Linear moments (TL) is derived for estimation of its parameters. A comparison was made between L-moments, TL-moments of two component mixture of exponential distributions and conventional moments. In intensive simulation study, empirical study results are in the favor of conventional moments, the reason … …American Journal of Applied Sciences, Vol. 17, Issue 1 · 23 May 2020 · 7,089 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleA Comparative Analysis on the Performance of the Convoluted Exponential Distribution and the Exponential Distribution in Terms of FlexibilityEnahoro Alfred Owoloko, Pelumi Emmanuel Oguntunde, Adebowale Olusola AdejumoIn this article, the convoluted exponential distribution which was derived as the sum of two independent exponentially distributed random variables was compared with the exponential distribution in terms of flexibility when applied to four real data sets. The idea is to verify if the convoluted exponential distribution would perform better than the exponential distribution in modeling real life situations. Some … …Journal of Mathematics and Statistics, Vol. 12, Issue 1 · 15 Apr 2016 · 6,983 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleRandom Sum of Mixtures of Sum of Bivariate Exponential DistributionsAbd El-Moneim A.M. Teamah, Ahmed M.T. Abd El-BarProblem statement: The distributions of R = X+Y and W = X/(X+Y), where X and Y follow Lawrance and Lewis`s bivariate exponential distribution, is generalized. Approach: In this research we found mixtures of sum of bivariate exponential random variables. Results: Also we calculated the probability density function (pdf) of the random sum of mixtures of sum of bivariate exponential random … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 7,316 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleEstimation of the Mean of Truncated Exponential DistributionFaris Muslim Al-AthariProblem statement: In this study, the researcher considers the problem of estimation of the mean of the truncated exponential distribution. Approach: This study contracted with maximum likelihood and unique minimum variance unbiased estimators and gives a modification for the maximum likelihood estimator, asymptotic variances and asymptotic confidence intervals for the estimators. The properties of these estimators in small, moderate and … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 7,675 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleTweaking Exponential Distribution to Estimate the Chance for More Survival Time if a Cancerous Kidney is RemovedRamalingam ShanmugamPatients with a malignant tumor in the kidney (recognized as hypernephroma in medical practice) are treated by what is known as nephrectomy (that is a surgical removal of the kidney) in addition to a combionation of chemotherapy and immunotherapy for the sake of more survival time. This articles develops and demonstrates a statistical methodology to assess the statistical significance of … …International Journal of Research in Nursing, Vol. 4, Issue 2 · 4 Sep 2013 · 6,218 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleInventory Management Systems with Hazardous Items of Two-Parameter Exponential DistributionAzizul Baten, Anton Abdulbasah KamilProblem statement: An exponentially decaying inventory was first developed by[10]. The certain commodities were observed to shrink with time by a proportion which can be approximated by a negative exponential function of time. Here, the novelty we took into consideration was that a constant hazardous rate followed by the two-parameter exponential distribution. Approach: We studied the inventory system with two-parameter … …Journal of Social Sciences, Vol. 5, Issue 3 · 30 Sep 2009 · 8,297 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleBayes Estimation of the Lifetime Parameters for the Exponential DistributionAhmed A. Abu-Taleb, Mahmoud M. Smadi, Ameen J. AlawnehBayes estimation for the parameters of the lifetime distribution when both survival and censoring time are exponentially distributed were studied. The marginal posteriors, Bayes estimates and credible sets were derived using conjugate priors. …Journal of Mathematics and Statistics, Vol. 3, Issue 3 · 30 Sep 2007 · 7,297 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleExponentiated Exponential Weibull Distribution: Mathematical Properties and ApplicationDawlah AlsulamiAn Exponentiated Exponential Weibull Distribution (EEWD) is proposed. Some statistical properties of the proposed distribution are studied. The Maximum Likelihood method (ML) is applied to estimate the model parameters. The efficiency of the ML estimates of the proposed model is demonstrated using a Monte Carlo simulation study with different samples sizes. Moreover, real data set application is provided to show … …American Journal of Applied Sciences, Vol. 17, Issue 1 · 4 Sep 2020 · 7,331 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOdds Exponential Log Logistic Distribution: Properties and EstimationRosaiah Kanaparthi, Gadde Srinivasa Rao, Kruthiventi Kalyani, Devireddy Charana Udaya SivakumarWe 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 … …Journal of Mathematics and Statistics, Vol. 13, Issue 1 · 25 Jan 2017 · 7,422 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOn The Estimation of Survival Function and Parameter Exponential Life Time DistributionHadeel Salim Al-Kutubi, Noor Akma IbrahimProblem statement: The study and research of survival or reliability or life time belong to the same area of study but they may belong to a different area of application. In survival analysis one can use several life time distribution, exponential distribution with mean life time θ is one of them. To estimate this parameter and survival function we must … …Journal of Mathematics and Statistics, Vol. 5, Issue 2 · 30 Jun 2009 · 8,065 accessesView PDFCite