Ewens sampling formula (ESF) is a one-parameter family of probability distributions with a number of intriguing combinatorial connections. This elegant closed-form formula first arose in biology as the stationary probability distribution of a sample configuration at one locus under the infinitealleles model of mutation. Since its discovery in the early 1970s, the ESF has been used in various bi...

We consider an analysis of variance type problem, where the sample observations are random elements in infinite dimensional space. This scenario covers case, functions. For such a we propose test based on spatial signs. develop asymptotic implementation as well bootstrap and permutation this investigate their size power properties. compare performance our with that several mean tests for functi...

the validity of survey was approved by human resources experts in university of tehran and reliability has been calculated using cronbach's alpha coefficient in which the coefficient of each dependent and independent variable calculated more than 0.7. the statistical population of this research included as employees of university of tehran including staff and expert managers, this populati...

on the basis of the steady-state two-dimensional theory of thermoelasticity, stress field around various holes in infinite isotropic plate is discussed. the plate is subjected to uniform heat flux and thermal insulated condition along the hole boundary is assumed. by using the complex potential functions and by applying the conformal mapping and solving the integral equations, the effect of blu...

I consider the effect of a finite sample size on the entropy of a sample of independent events. I propose formula for entropy which satisfies Shannon’s axioms, and which reduces to Shannon’s entropy when sample size is infinite. I discuss the physical meaning of the difference between two formulas, including some practical implications, such as maximum achievable channel utilization, and minimu...

The purpose of this paper is to investigate the effective factors in accepting marketing through mobile social media by end users. research method, descriptive-survey and type practical based on purpose. statistical population study online customers phones from Mobile Online website 2019. Infinite (384) was selected as sample according Cochran formula. Data collection accomplished questionnaire...

This note introduces a new general conjecture correlating the dimensionality dT of an infinite lattice with N nodes to the asymptotic value of its Wiener Index W(N). In the limit of large N the general asymptotic behavior W(N)≈Ns is proposed, where the exponent s and dT are related by the conjectured formula s=2+1/dT allowing a new definition of dimensionality dW=(s-2)-1. Being related to the t...