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14 articles for “limiting distribution”
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Research ArticleOpen accessIn the keywordsAn Application of Univariate Statistics to Hotelling's T2Dr. A. PolymenisProblem statement: Hotelling's T2 statistic has been well documented in the existing literature and exact as well as asymptotic results have been obtained. In the present article, we focus on an important particular case of T2 and we note that, there is no clear way to show, how univariate results, used in the theory of Student’s t statistic, could be … …Journal of Mathematics and Statistics, Vol. 7, Issue 1 · 25 Mar 2011 · 7,660 accessesView PDFCite
Research ArticleOpen accessIn the keywordsThe 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 accessIn the keywordsAsymptotic Distribution of Coefficients of Skewness and KurtosisNarges AbbasiProblem statement: In literature, a classic method which has been used to recognize the distribution so far is the measurement of its skewedness and kurtosis. However, there remains a question: how would these measurements work for skewed normal distribution when the size of the sample is large? Approach: This research aimed to determine the asymptotic distribution of skewedness and kurtosis … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 9,582 accessesView PDFCite
Research ArticleOpen accessIn the abstractFactors Associated with Irrational Use of Antibiotics. A Cross-Sectional Study in the City of Marrakech MoroccoNaima Aoutil, Mohamed Cherkaoui, Mohamed BouskraouiOveruse and inappropriate use of antibioticsleads to the emergence of antibiotic-resistant bacteria. This resistance leadsto longer hospital stays, higher medical costs, and increased mortality. Therefore,its control must be a priority as it poses a threat to all nations, regardlessof their territory and economic status.In Marrakech too, antibioticresistance is a real public health problem, limiting treatment options. Thepopulation plays a crucial … …OnLine Journal of Biological Sciences, Vol. 25, Issue 1 · 6 Feb 2025 · 4,539 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Effect of the Transportation System and City Configuration on Sustainable Urbanization (Al-Bayda City as a Case Study)Aisha Bakar, Ashraf Fadiel, Taher Abu-LebdehDespite the persistent attempts on a global level to adopt sustainability in every aspect of city planning, the complex nature of city components and the presence of many factors and variables that affect the growth and development of cities make the adoption of a specific trend not an easy matter. It may be more appropriate to identify some important elements … …American Journal of Engineering and Applied Sciences, Vol. 17, Issue 2 · 19 Mar 2024 · 5,278 accessesView PDFCite
Research ArticleOpen accessIn the abstractPoisson Quasi-Maximum Likelihood Estimator-based CUSUM Test for Integer-Valued Time SeriesSangyeol LeeThis study considers the parameter change test for integer-valued time series models based on the Poisson quasi-maximum likelihood estimates. As a change point test, we consider the score vector-based CUSUM test and show that its limiting null distribution takes the form of a function of Brownian bridges. Moreover, the residual-based CUSUM tests are considered as alternatives. For evaluation, we conduct … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 1 Oct 2019 · 7,650 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Uniform Truncated Negative Binomial Distribution and its PropertiesBahady I. Kamel, Shaban E. Abo Youssef, Mohamed G. SiefA new three parameters continuous distribution which is named the Uniform Truncated Negative Binomial (UTNB) distribution is introduced. It has the uniform and the Marshall-Olkin extended uniform distributions as sub-models. Some reliability and statistical properties of the new distribution are derived, including the shape behavior of the density and hazard rate functions, the mean residual life, moments and moment generating … …Journal of Mathematics and Statistics, Vol. 12, Issue 4 · 29 Nov 2016 · 7,308 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Bayesian Adaptive Design for Combination of Three Drugs in Cancer Phase I Clinical TrialsMourad Tighiouart, Quanlin Li, Steven Piantadosi, Andre RogatkoWe describe a Bayesian adaptive design for early phase cancer trials of a combination of three agents. This is an extension of an earlier work by the authors by allowing all three agents to vary during the trial and by assigning different drug combinations to cohorts of three patients. The primary objective is to estimate the Maximum Tolerated Dose (MTD) … …Current Research in Biostatistics, Vol. 6, Issue 1 · 25 Aug 2016 · 8,421 accessesView PDFCite
Research ArticleOpen accessIn the abstractTREND ANALYSIS OF MONTHLY RAINFALL DATA IN CENTRAL ZONETelemu KassileProper trend analysis of rainfall data is necessary for social and economic planning especially in the tropics where rainfall is a major limiting factor for crop production. In spite of the growing number of studies on climatic variables including rainfall in recent years, in the context of Tanzania little is known as to whether or not the observed time trend … …Journal of Mathematics and Statistics, Vol. 9, Issue 1 · 15 Mar 2013 · 7,939 accessesView PDFCite
Research ArticleOpen accessIn the abstractFinite Element Modeling of Transient Temperatures in a Small-Caliber ProjectileM. Brian Thomas, Leon DozierProblem statement: Future generations of intelligent munitions will use Microelectromechanical Systems (MEMS) for guidance, fuzing logic and assessment of the battlefield environment. The temperatures fund in a gun system, however, are sufficient to damage some materials used in the fabrication of MEMS. The motivation of this study is to model the dynamic temperature distribution in a typical small-caliber projectile. Approach: … …American Journal of Engineering and Applied Sciences, Vol. 3, Issue 2 · 30 Jun 2010 · 8,045 accessesView PDFCite