Approximations for the inverse cumulative distribution function of the gamma distribution used in wireless communication. [PDF]
Heliyon, 2020 The use of quantile functions of probability distributions whose cumulative distribution is intractable is often limited in Monte Carlo simulation, modeling, and random number generation.
Okagbue H, Adamu MO, Anake TA.
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Error-controlled algorithm for the cumulative distribution function of doubly non-central F distribution. [PDF]
HeliyonThe doubly non-central F distribution is a widely applied probability distribution. The cumulative distribution function (CDF) of the doubly non-central F distribution can be expressed using the infinite doubly series.
Fang L, Li H, Tian Y.
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Estimating Cumulative Distribution Function Using Gamma Kernel [PDF]
Journal of Sciences, Islamic Republic of Iran, 2022 In this article, we propose the gamma kernel estimator for the cumulative distribution functions with nonnegative support. We derive the asymptotic bias and variance of the proposed estimator in both boundary and interior regions and show that it is free
Behzad Mansouri +3 more
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Applied Sciences, 2022 This paper proposes a cumulative distribution modelling method for pavement performance indexes based on the sampling theorem and implements clustering analysis of similar road sections through the K-means algorithm.
Wenya Ye, Rui Zhang, Qun Yang
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Spatial mixture modeling for analyzing a rainfall pattern: A case study in Ireland
Open Engineering, 2022 This study investigates the spatial heterogeneity in the maximum monthly rainfall amounts reported by stations in Ireland from January 2018 to December 2020. The heterogeneity is modeled by the Bayesian normal mixture model with different ranks.
Hussein Amjad, Kadhem Safaa K.
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Construction of Fuzzy Numbers via Cumulative Distribution Function
Mathematics, 2022 The first person to introduce possibility theory was Lotfi A. Zadeh, in 1977. It was, of course, of no coincidence that he directly combined it with the theory of fuzzy sets.
Georgios Souliotis +2 more
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Estimation of the Density and Cumulative Distribution Functions of the Topp-Leone Distribution
Cumhuriyet Science Journal, 2023 In this paper, we estimate the probability density function and the cumulative distribution function of the Topp-Leone distribution. We use the maximum likelihood estimation, uniformly minimum variance unbiased estimation, least squares estimation ...
Lazhar Benkhelıfa
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Computation of cumulative density of noncentral chi-square distribution in Excel [PDF]
Tutorials in Quantitative Methods for Psychology, 2022 Noncentral distributions are obtained by transformation of their respective central distributions, and are identified by a noncentrality parameter. The noncentrality parameter measures the degree to which mean of test statistics departs, when the null ...
Sambaraju, Prasanth
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Cumulative Conforming Control Chart Assuming Discrete Weibull Distribution
IEEE Access, 2020 Time Between Events (TBE) charts have advantages over the traditional control charts when monitoring high quality processes with very low defect rates. This article introduces a new discrete TBE control chart following discrete Weibull distribution.
Sajid Ali +3 more
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Beta Kernel Estimator for a Cumulative Distribution Function with Bounded Support [PDF]
Journal of Sciences, Islamic Republic of Iran, 2023 Kernel estimation of the cumulative distribution function (CDF), when the support of the data is bounded, suffers from bias at the boundaries. To solve this problem, we introduce a new estimator for the CDF with support (0,1) based on the beta kernel ...
Behzad Mansouri +2 more
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