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6 articles for “binomial distribution”
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Bayesian Analysis of Operating Characteristic Curves of Single Sampling Plans by Attributes under Mixture of Two Binomial Distributions
Abstract: In the current scenario, manufacturing of products in single stream is not enough to meet the needs of consumers and in order to increase the production, two or more streams are required and the lots are formed from various streams. The production unit differs due to input raw materials, machineries, manpower and management, there may be inherent variation among the quality of the products manufactured from different streams. In this …
Published in Research & Reviews : Journal of Statistics · Vol. 7, Issue 1, 2018 · pp. 12s–23s Read article
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An Exact Kolmogorov–Smirnov Test for the Negative Binomial Distribution with Unknown Probability of Success
Abstract: AbstractIn this paper, we develop an exact Kolmogorov–Smirnov goodness-of-fit test in the case of negative binomial distribution with an unknown probability of success. This test is conditional, with the test statistic being the maximum absolute difference between the empirical distribution function and its conditional expectation given the sample total. The results are not asymptotic, but exact. We illustrate the test with three examples in case the size parameter equals one …
Published in Research & Reviews : Journal of Statistics · Vol. 2, Issue 1, 2013 · pp. 1–13 Read article
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A Bayesian Case-Control Study to Study the Effect of Covariates in Gall Bladder Carcinoma
Abstract: The paper provides a Bayesian study to see the effect of different covariates in developing gallbladder carcinoma from a group of patients examined in the form of case-control scenario. The cases are those who have developed carcinoma from a group of gallbladder patients and the control are those who belong to the latter category but not in the former. The study has also been extended to evaluate the odds ratio, …
Published in Research and Reviews: A Journal of Medicine · Vol. 1, Issue 1, 2011 Read article
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The Poisson–Uma Distribution with Properties and Applications to Model Thunderstorm Events
Abstract: The discrete data available in any field of knowledge is influenced by several known and unknown factors and the factors which affect the discrete data are stochastic. The stochastic nature of discrete data is a challenge for statisticians to model and analyze with the existing discrete distributions. In the present paper, Poisson-Uma distribution, the Poisson compound of Uma distribution, has been proposed to model over-dispersed data of thunderstorm events. The …
Published in Research & Reviews : Journal of Statistics · Vol. 13, Issue 1, 2024 · pp. 20–30 Read article
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Proportion Tests Applied in Assessors’ Selection Under Assumption Break: The Cases of Sensory Fatigue and Learning Process
Abstract: Triangle trials are commonly employed in panelist selection, describing a Binomial distribution. However, assessors can fatigue or develop sensitivity after many trials, which violate constant proportion assumption. This violation could affect some tests obtained from normal distribution interval estimators (TN1, TN2 and TN3), F distribution (TF), Sequential Test (TS) and Poisson approximation with quantile (TP). To evaluate this tests performance, Monte Carlo simulations were performed for 1000 assessors through 5, …
Published in Research & Reviews : Journal of Food Science & Technology · Vol. 10, Issue 1, 2021 · pp. 15–26 Read article
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Modeling Dispersed Count Data: Evaluating the Conway–Maxwell–Poisson Regression with COVID-19 Mortality Data
Abstract: Count data are prevalent in diverse fields such as biology, healthcare, psychology, and marketing, characterized by non-negativity and inherent heteroskedasticity, often exhibiting overdispersion or underdispersion. Traditional Poisson regression, which assumes equal mean and variance, is inadequate for such dispersed data. To address this, various generalized linear models (GLMs) and their extensions, including negative binomial (NB) and Conway–Maxwell–Poisson (CMP) regressions, are utilized. This study evaluates the performance of CMP regression compared …
Published in Research & Reviews : Journal of Statistics · Vol. 13, Issue 3, 2024 · pp. 18–26 Read article