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Choice probability generating functions [PDF]
Journal of Choice Modelling, 2013 This paper establishes that every random utility discrete choice model (RUM) has a representation that can be characterized by a choice-probability generating function (CPGF) with specific properties, and that every function with these specific properties is consistent with a RUM.
Fosgerau, Mogens +2 more
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Distribution Function, Probability Generating Function and Archimedean Generator [PDF]
Symmetry, 2020 Archimedean copulas form a very wide subclass of symmetric copulas. Most of the popular copulas are members of the Archimedean copulas. These copulas are obtained using real functions known as Archimedean generators. In this paper, we observe that under certain conditions the cumulative distribution functions on (0, 1) and probability generating ...
Weaam Alhadlaq, Abdulhamid Alzaid
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Applying the Moment Generating Functions to the Study of Probability Distributions [PDF]
Informatică economică, 2007 In this paper, we describe a tool to aid in proving theorems about random variables, called the moment generating function, which converts problems about probabilities and expectations into problems from calculus about function values and derivates.
Silvia SPATARU
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Efficiency, accuracy and robustness of probability generating function based parameter inference method for stochastic biochemical reactions [PDF]
PLoS Computational BiologyBiochemical reactions are inherently stochastic, with their kinetics commonly described by chemical master equations (CMEs). However, the discrete nature of molecular states renders likelihood-based parameter inference from CMEs computationally intensive.
Shiyue Li +5 more
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On Goodness-of-Fit Tests for the Neyman Type A Distribution
Revstat Statistical Journal, 2023 The two-parameter Neyman type A distribution is quite useful for modeling count data, since it corresponds to a simple, flexible and overdispersed discrete distribution, which is also zero[1]inflated.
Apostolos Batsidis, Artur J. Lemonte
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Two-Dimensional Moran Model: Final Altitude and Number of Resets
Mathematics, 2023 In this paper, we consider a two-dimension symmetric random walk with reset. We give, in the first part, some results about the distribution of every component. In the second part, we give some results about the final altitude Zn. Finally, we analyse the
Rafik Aguech, Mohamed Abdelkader
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Generalized Probability Functions [PDF]
Advances in Mathematical Physics, 2009 From the integration of nonsymmetrical hyperboles, a one‐parameter generalization of the logarithmic function is obtained. Inverting this function, one obtains the generalized exponential function. Motivated by the mathematical curiosity, we show that these generalized functions are suitable to generalize some probability density functions (pdfs).
Alexandre Souto Martinez +2 more
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The discrete weighted exponential distribution and its applications [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2018 We propose a new discrete distribution namely the discrete weighted exponential (dWE) distribution. It is discretization of weighted exponential distribution.
Panpharisa Khongthip +2 more
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Research on Age of Information for Discrete-Time System with Ber/Geo/1/1 [PDF]
Jisuanji gongcheng, 2023 Due to the dynamic changes in the environment of real-time monitoring systems，such as the Internet of Vehicles（IoV） and remote surgery，it is inevitable for such systems to focus on the freshness of received information.The infrastructure in the Internet ...
WEI Zhemin, JIA Xiangdong, CHEN Zhi, ZHAO Yuhua
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On Finite Mixtures of Modified Intervened Poisson Distribution And Its Applications [PDF]
Journal of Statistical Theory and Applications (JSTA), 2014 Kumar and Shibu proposed a modified version of intervened Poisson distribution (IPD), namely the modified intervened Poisson distribution (MIPD) for tackling situations of further interventions useful for certain practical problems. Here we consider some
C. Satheesh Kumar, D.S. Shibu
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