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188 articles for “Distribution Function”
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Research ArticleOpen accessPhrase in the titleThe Probability and the Asymptotic Distribution Functions of Increasing Ordered Statistical DataA. A. El-Faheem, Eman A. MahmoudProblem statement: We considered two types of sequences of ordered statistical discrete data i1, i2…in, 1≤i1≤ i2≤… in≤n and ij = 1,2,…,n, j = 1,2,…,n. The first type is the order statistics of a sample of size n taken from the uniform discrete distribution on the set S = {1,2,…,n}, n ∈ N+. The other type is the increasing ordered … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,290 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
Research ArticleOpen accessEvery word in the titleBayesian Estimation for Lomax Distribution: A Comparison of Loss Functions Using Jeffreys PriorsHuda Mohammed AlomariThis study investigates the estimation of the shape parameter for the Lomax distribution using complete data. We compare the performance of the classical Maximum Likelihood Estimation (MLE) method against the Bayesian framework. Within the Bayesian approach, three distinct loss functions were utilized: the linear exponential (LINEX), general entropy, and weighted general entropy loss functions. The precision of these estimators was … …Journal of Mathematics and Statistics, Vol. 21, Issue 1 · 24 Dec 2025 · 2,635 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA Comparison of the Bayesian and Other Methods for Estimation of Reliability Function for Burr-XII DistributionSafaa Ali Nasir, Nashaat Jaisam Al-AnberProblem statement: The Burr-XII distribution has been widely used especially in the modeling of life time event data. It provides a statistical model which has a wide variety of application in many areas and the main advantage is its ability in the context of life time event among other distributions. The conventional maximum likelihood method is the usual way to … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 27 Dec 2011 · 7,852 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleProtocol of Secure Key Distribution Using Hash Functions and Quantum Authenticated Channels (KDP-6DP)Mohammed Munther A. Majeed, Khalid A.S. Al-Khateeb, Mohamed R. Wahiddin, Magdy M. SaebProblem statement: In previous researches, we investigated the security of communication channels, which utilizes authentication, key distribution between two parties, error corrections and cost establishment. In the present work, we studied new concepts of Quantum Authentication (QA) and sharing key according to previous points. Approach: This study presented a new protocol concept that allows the session and key generation on-site … …Journal of Computer Science, Vol. 6, Issue 10 · 24 Aug 2010 · 8,271 accessesView PDFCite
Research ArticleOpen accessIn the keywordsComparative Analysis of Proteins in Two Typical Chinese Thin-Shell WalnutsXu Meng, Tian YilingThis study compared functional properties and molecular characteristics of proteins from two thin-shelled walnut (Juglans regia L.) cultivars predominantly grown in China: Wen 185 and Lvling. Wen 185 walnut protein demonstrated significantly superior performance compared to Lvling across multiple functional parameters, including solubility, emulsifying capacity, foaming capacity, water absorption, and oil absorption. Molecular weight distribution analysis revealed that both proteins … …American Journal of Biochemistry and Biotechnology, Vol. 21, Issue 4 · 15 Feb 2026 · 1,481 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA New Family: Σh DistributionsYasser Mohamed Amer, Rania Mustafa ShalabiIn this study, a new method is proposed for generating families of the sum of the hazard functions for two distributions named the Σh distributions. This new family will help in the application of a wider range of life time data. Many new distributions, which are members of the family, are presented with emphasis on the Σh Exponential-Lomax distribution. Details … …Journal of Mathematics and Statistics, Vol. 17, Issue 1 · 7 Jan 2021 · 7,281 accessesView PDFCite
Research ArticleOpen accessIn the keywordsSome Cubic Transmuted Exponentiated Pareto-1 DistributionHussein EledumIn this study, we introduce two new generalized versions of the Exponentiated Pareto-I distribution called (CTEP-I-G) and (CTEP-I-R). Statistical properties of the two distributions such as reliability function, hazard function, moments and moment generating function are studied. Models parameters are estimated by the maximum likelihood method. Finally, an application of CTEP-I-G and CTEP-I-R distributions to two real datasets and compared … …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 14 Jul 2020 · 6,062 accessesView PDFCite
Research ArticleOpen accessIn the keywordsReliability Equivalence Factors of a Parallel System Subject to Weibull Distribution Using Multivariate FGM CopulaNeama Salah Youssef TemrazThis paper analyze a parallel system consisted of n dependent components with lifetimes follow Weibull distribution. FGM Copula in multivariate case is used to generate the reliability function of the original system. Reduction method is introduced to improve system reliability. Other methods of hot, cold and warm duplication are established to improve system reliability. An application using real time data … …American Journal of Applied Sciences, Vol. 15, Issue 1 · 3 Feb 2018 · 7,940 accessesView PDFCite
Research ArticleOpen accessIn the keywordsOn Bayesian Premium Estimators for Gamma Lindley Model under Squared Error Loss Function and Linex Loss FunctionAhmed Sadoun, Halim Zeghdoudi, Fatma Zohra Attoui, Mohamed Riad RemitaWe consider the Gamma Lindley distribution (GaL) as the conditional distribution of (X|θ,γ), we focus on the estimation of the Bayesian premium under squared error loss function (symmetric) and linear-exponential (Linex) loss function (asymmetric), using informative priors (the Gamma prior). Because of its difficulty and non-linearity, we use a numerical approximation for computing the Bayesian premium. Finally, a simulation and … …Journal of Mathematics and Statistics, Vol. 13, Issue 3 · 23 Sep 2017 · 7,043 accessesView PDFCite