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Information generating functions have been used for generating various entropy and divergence measures. In the present work, we introduce quantile based relative information generating function and study its properties. The proposed…

Statistics Theory · Mathematics 2024-12-04 Sankaran P. G. , Sunoj S. M. , Pavithra Hariharan

The notion of weighted Renyi's entropy for truncated random variables has recently been proposed in the information-theoretic literature. In this paper, we introduce a generalized measure of it for double truncated distribution, namely…

Statistics Theory · Mathematics 2020-04-10 Shivangi Singh , Chanchal Kundu

In this paper, we propose a new and unified approach for nonparametric regression and conditional distribution learning. Our approach simultaneously estimates a regression function and a conditional generator using a generative learning…

Machine Learning · Statistics 2023-06-28 Shanshan Song , Tong Wang , Guohao Shen , Yuanyuan Lin , Jian Huang

We introduce a deep generative model for functions. Our model provides a joint distribution p(f, z) over functions f and latent variables z which lets us efficiently sample from the marginal p(f) and maximize a variational lower bound on…

Machine Learning · Computer Science 2018-07-12 Philip Bachman , Riashat Islam , Alessandro Sordoni , Zafarali Ahmed

We discuss an acceptance-rejection algorithm for the random number generation from the Kolmogorov distribution. Since the cumulative distribution function (CDF) is expressed as a series, in order to obtain the density function we need to…

Computation · Statistics 2022-08-30 Paolo Onorati , Brunero Liseo

Uncertainty in past lifetime distributions and the timing of inactivity in systems and their components can be effectively measured using the fractional generalized cumulative past entropy (FGCPE) and its dynamic extension (DFGCPE),…

Statistics Theory · Mathematics 2025-09-12 Poulami Paul , Chanchal Kundu

The current and future developments of electric power systems are pushing the boundaries of reliability assessment to consider distribution networks with renewable generators. Given the stochastic features of these elements, most modeling…

Other Computer Science · Computer Science 2012-07-02 Yan-Fu Li , Enrico Zio

In this paper a new lifetime distribution, which is called the exponentiated Weibull-geometric (EWG) distribution, is introduced. This new distribution obtained by compounding the exponentiated Weibull and geometric distributions. The EWG…

Methodology · Statistics 2012-12-23 Eisa Mahmoudi , Mitra Shiran

The mean residual life function is a key functional for a survival distribution. It has a practically useful interpretation as the expected remaining lifetime given survival up to a particular time point, and it also characterizes the…

Applications · Statistics 2024-01-26 Valerie Poynor , Athanasios Kottas

The Monte Carlo program {\tt WWGENPV}, designed for computing distributions and generating events for the four-fermion process $e^+ e^- \to W^+ W^- \to 4f$, is described. It is based on the calculation of the exact tree-level matrix element…

High Energy Physics - Phenomenology · Physics 2009-10-28 G. Montagna , O. Nicrosini , F. Piccinini

Entropy estimation plays a crucial role in various fields, such as information theory, statistical data science, and machine learning. However, traditional entropy estimation methods often struggle with complex data distributions.…

Methodology · Statistics 2025-05-16 Luca Scrucca

Increasing penetration of distribution generation (DG) and electric vehicles (EVs) calls for an effective way to estimate the achievable capacity connected to the distribution systems, but the exogenous uncertainties of DG outputs and EV…

Optimization and Control · Mathematics 2017-08-03 Huimiao Chen , Zechun Hu , Yinghao Jia , Zuo-Jun Max Shen

In this paper, we proposed a new lifetime distribution namely generalized weighted Lindley (GLW) distribution. The GLW distribution is a useful generalization of the weighted Lindley distribution, which accommodates increasing, decreasing,…

Statistics Theory · Mathematics 2016-07-20 P. L. Ramos , F. Louzada

The cumulative residual extropy (CRJ) is a measure of uncertainty that serves as an alternative to extropy. It replaces the probability density function with the survival function in the expression of extropy. This work introduces a new…

Methodology · Statistics 2024-07-17 Gaurav Kandpal , Nitin Gupta

We introduce innovative inference procedures for analyzing time series data. Our methodology enables density approximation and composite hypothesis testing based on Whittle's estimator, a widely applied M-estimator in the frequency domain.…

Methodology · Statistics 2024-03-20 Alban Moor , Davide La Vecchia , Elvezio Ronchetti

In recent years, there has been a growing interest in information measures that quantify inaccuracy and uncertainty in systems. In this paper, we introduce a novel concept called the Weighted Fractional Cumulative Residual Inaccuracy…

Statistics Theory · Mathematics 2026-02-24 Aman Pandey , Chanchal Kundu

Conditional distribution is a fundamental quantity for describing the relationship between a response and a predictor. We propose a Wasserstein generative approach to learning a conditional distribution. The proposed approach uses a…

Machine Learning · Computer Science 2021-12-21 Shiao Liu , Xingyu Zhou , Yuling Jiao , Jian Huang

Following [1], the aim of this paper is to analyze the relative weighted entropy involving the central moments weight functions. We compare the standard relative entropy with the weighted case in two particular forms of Gaussian…

Information Theory · Computer Science 2015-06-23 Salimeh Yasaei Sekeh , Adriano Polpo

The Monte Carlo program {\tt WWGENPV}, designed for computing distributions and generating events for four-fermion production in $e^+ e^- $ collisions, is described. The new version, 2.0, includes the full set of the electroweak (EW)…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. G. Charlton , G. Montagna , O. Nicrosini , F. Piccinini

Very recently, extended fractional cumulative residual entropy (EFCRE) has been proposed by Foroghi et al. (2022). In this paper, we introduce extended fractional cumulative past entropy (EFCPE), which is a dual of the EFCRE. The newly…

Statistics Theory · Mathematics 2023-03-22 Shital Saha , Suchandan Kayal