3 articles for “quasi-likelihood”

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Research ArticleOpen accessEvery word in the titlePoisson 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 PDF Cite

Research ArticleOpen accessIn the keywordsModel for Analyzing Counts with Over-,Equi-and Under-Dispersion in Actuarial StatisticsNaushad Mamode Khan, Maleika Heenaye-Mamode KhanProblem statement: Actuarial science has grown much popularity in the recent years due to the growth of insurance companies. In practice, the data involved in actuarial science are mostly counts which may be over-,equi-or under-dispersed. Many probability distributions were proposed to model such data such as the mixed Poisson distributions. However, the estimation methodologies based on such mixed Poisson distributions … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 7,602 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsApplication of a Statistical Model to Biological Data Analysis: Exclusive BreastfeedingNaushad Mamode Khan, Cheika Jahangeer, Daya Goburdhun, Maleika Heenaye-Mamode KhanProblem statement: Breastfeeding is of utmost importance in the maternal life of a woman, particularly exclusive breastfeeding. Exclusive breastfeeding during the first 6 months of life supports optimal growth and development during infancy and reduces the risk of obliterating diseases and problems. Many probability distributions were proposed to model such data such as the mixed Poisson distributions. However, the estimation … …Current Research in Biostatistics, Vol. 1, Issue 1 · 30 Jun 2010 · 10,818 accessesView PDF Cite