In this note, we combine the two approaches of Billingsley (1998) and Cs˝org˝o and R´ev´esz (1980), to provide a detailed sequential and descriptive for creating a standard Brownian motion, from a Brownian…

# Category: Mathematics and Computer Science

## Estimation of the Parameter of Certain Distributions with Known Coe_cient of Variation by U-Statistics

In this work we consider the problem of estimation of the location parameter of certain distributions with known coe_cient of variation by U-statistics. We discussed the general technique of estimating the location…

## Hybridizing Median and Average for Measuring,Electing and Ranking Candidates

In this contribution we show that neither mean-based voting systems nor median-based ones can ful_ll requirements of an ideal democracy. We then work out an original voting function obtained by hydrizing Borda…

## Studies on Reliability of Linear and Circular Consecutive-k-out-of-n Systems with Shock Model

In reliability theory, various shock models were de_ned and treated by many researchers. In the _rst part, we use a shock model to obtain the reliability function of consecutve-k-out-of-n systems with dependent…

## A Recent and Modern Approach to The Moment Problem on R

The moment problem is an important problem in Functional Analysis and in Probability measure. It goes back to Stieltjes, around 1890. There is still an important ongoing interest in the recent…

## Extensions of Bernstein Type Inequalities of a Polynomial to Polar Derivative

Let p (z) be a polynomial of degree n and a be any real or complex number, the polar derivative of p(z) , denoted by D p(z) a , is defined as…

## A Comparative study between Riemann-Stieltjes and Lebesgue-Stieltjes Integration using Discrete Distribution Functions

Integrating with respect to functions which are constant on intervals whose bounds are discontinuity points (of those functions) is frequent in many branches of Mathematics, specially in stochastic processes. For such functions…

## Estimation of a Parameter of Certain Bivariate Distributions with Equal Coecients of Variation by Concomitants of Record Values

In this work, we deals with the estimation of a parameter of some bivariate distributions with equal coe_cients of variation by concomitants of record values.We consider the problem of estimation of the…

## Selection of Table Scan or Seek Scan on the Basis of Data Size to Reduce Number of Logical Reads

The information retrieval system is an effort to extract services from a range of knowledge services, which are specific to the information requirement. You will access this method using passwords or keywords…

## Evaluation of Arithmetic Searches over String Searches for Better Performance

Most Data Base Administrators (DBA) prefers one form of data over another as their own advantages and disadvantages. It is often easy to determine, but at times it is a little tougher…