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In this paper, we consider the problem of parameter estimating for a family of exponential distributions. We develop the improved estimation method, which generalized the James--Stein approach for a wide class of distributions. The proposed…

统计理论 · 数学 2023-08-08 S. B. Kologrivova , E. A. Pchelintsev

The generalized negative binomial distribution (GNB) is a new flexible family of discrete distributions that are mixed Poisson laws with the mixing generalized gamma (GG) distributions. This family of discrete distributions is very wide and…

统计方法学 · 统计学 2018-09-18 Andrey K. Gorshenin , Victor Yu. Korolev

In this paper we have introduced a generalized version of alpha beta skew normal distribution in the same line of Sharafi et al. (2017) and investigated some of its basic properties. The extensions of the proposed distribution have also…

统计理论 · 数学 2019-10-22 Sricharan Shah , Subrata Chakraborty , Partha Jyoti Hazarika , M. Masoom Ali

The renormalization group equations for large-scale structure (RG-LSS) describe how the bias and stochastic (noise) parameters -- both of matter and biased tracers such as galaxies -- evolve as a function of the cutoff $\Lambda$ of the…

宇宙学与河外天体物理 · 物理学 2024-10-10 Henrique Rubira , Fabian Schmidt

A multicanonical formalism is introduced to describe statistical equilibrium of complex systems exhibiting a hierarchy of time and length scales, where the hierarchical structure is described as a set of nested "internal heat reservoirs"…

统计力学 · 物理学 2012-11-15 Domingos S. P. Salazar , Giovani L. Vasconcelos

Self-similarity of systems is very popular and intensively developing field during last decades. To this field belong so-called stable distributions and their generalization. In Klebanov and Sl\'amov\'a (2014) there was given an approach to…

概率论 · 数学 2014-08-19 Lev B. Klebanov , Lenka Slámová , Ashot Kakosyan , Gregory Temnov

Predicting extreme events is important in many applications in risk analysis. The extreme-value theory suggests modelling extremes by max-stable distributions. The Bayesian approach provides a natural framework for statistical prediction.…

统计理论 · 数学 2020-09-22 Simone A. Padoan , Stefano Rizzelli

We present a nonparametric framework to model a short sequence of probability distributions that vary both due to underlying effects of sequential progression and confounding noise. To distinguish between these two types of variation and…

统计方法学 · 统计学 2019-02-08 Jonas Mueller , Tommi Jaakkola , David Gifford

The Transformed-Transformer family of distributions are the resulting family of distributions as transformed from a random variable $T$ through another transformer random variable $X$ using a weight function $\omega$ of the cumulative…

统计方法学 · 统计学 2016-02-18 Nil Kamal Hazra , Pradip Kundu , Asok K. Nanda

Probability distributions supported on the simplex enjoy a wide range of applications across statistics and machine learning. Recently, a novel family of such distributions has been discovered: the continuous categorical. This family enjoys…

A mixture of variance-gamma distributions is introduced and developed for model-based clustering and classification. The latest in a growing line of non-Gaussian mixture approaches to clustering and classification, the proposed mixture of…

统计方法学 · 统计学 2014-12-30 Sharon M. McNicholas , Paul D. McNicholas , Ryan P. Browne

A new family of nonparametric statistics, the r-statistics, is introduced. It consists of counting the number of records of the cumulative sum of the sample. The single-sample r-statistic is almost as powerful as Student's t-statistic for…

统计方法学 · 统计学 2015-07-14 Damien Challet

In this paper, we introduce a new generalization of geometric distribution which can also viewed as discrete analogue of weighted exponential distribution introduced by Gupta and Kundu(2009). We study some basic distributional properties…

统计方法学 · 统计学 2016-02-08 Deepesh Bhati , Savitri Joshi

The advantages of using more than one renormalization group (RG) in problems with more than one important length scale are discussed. It is shown that: i) using different RG's can lead to complementary information, i.e. what is very…

高能物理 - 理论 · 物理学 2011-04-15 C. R. Stephens

George and Wilson [Acta. Cryst. D 50, 361 (1994)] looked at the distribution of values of the second virial coefficient of globular proteins, under the conditions at which they crystallise. They found the values to lie within a fairly…

软凝聚态物质 · 物理学 2009-11-07 Richard P. Sear

We introduce a Bayesian approach for analyzing (possibly) high-dimensional dependent data that are distributed according to a member from the natural exponential family of distributions. This problem requires extensive methodological…

统计方法学 · 统计学 2019-04-19 Jonathan R. Bradley , Scott H. Holan , Christopher K. Wikle

We use a new method of analysis to determine parameters of cosmological gamma-ray bursts (GRBs), assuming that their distribution follows the star-formation history of the universe. Spectral evolution is calculated from an external shock…

天体物理学 · 物理学 2015-06-24 M. Boettcher , C. D. Dermer

The family of q-Gaussian and q-exponential probability densities fit the statistical behavior of diverse complex self-similar non-equilibrium systems. These distributions, independently of the underlying dynamics, can rigorously be obtained…

统计力学 · 物理学 2015-05-19 Adrian A. Budini

The Birnbaum-Saunders distribution is a flexible and useful model which has been used in several fields. In this paper, a new bimodal version of this distribution based on the alpha-skew-normal distribution is established. We discuss some…

统计理论 · 数学 2020-07-27 Roberto Vila , Jeremias Leão , Helton Saulo , Mirza Nabeed , Manoel Santos-Neto

In order to physically enlighten the relationship between {\it $q$--independence} and {\it scale-invariance}, we introduce three types of asymptotically scale-invariant probabilistic models with binary random variables, namely (i) a family,…

统计力学 · 物理学 2010-07-13 A. Rodríguez , V. Schwämmle , C. Tsallis