queuing theory, Advanced Statistics

Assignment Help:
1) Let N1(t) and N2(t) be independent Poisson processes with rates, ?1 and ?2, respectively. Let
N (t) = N1(t) + N2(t).
a) What is the distribution of the time till the next epoch of N2(t)?
b) What is the probability that the next epoch of N (t) is an epoch in N1(t)?
c) What is the distribution of the next epoch of N (t)?
d) What is the mean number of N1(t) epochs before the next epoch of N2(t)?

Related Discussions:- queuing theory

Daycare, facts and statistics about daycare

facts and statistics about daycare

Dummy variables, The variables resulting from the recoding categorical vari...

The variables resulting from the recoding categorical variables with more than two categories into the sequence of binary variables. Marital status, for instance, if originally lab

Decision theory, A unified approach to all problems of prediction, estimati...

A unified approach to all problems of prediction, estimation, and hypothesis testing. It is based on concept of the decision function, which tells the performer of experiment how t

Descriptive statistics, how to describe association between quantitative an...

how to describe association between quantitative and categorical variables

Double-dummy technique, It is the technique used in the clinical trials whe...

It is the technique used in the clinical trials when it is possible to make an acceptable place before an active treatment but not to make the two active treatments identical. In t

Coplot, This is the powerful visualization tool for studying how the respon...

This is the powerful visualization tool for studying how the response relies on an explanatory variable given the values of other explanatory variables. The plot comprises of a num

Proportional allocation, how to get the proportional allocation of the give...

how to get the proportional allocation of the give stratified random sampling example

Matching, Matching is the method of making a study group and a comparison ...

Matching is the method of making a study group and a comparison group comparable with respect to the extraneous factors. Generally used in the retrospective studies when selecting

Quasi-experiment, Quasi-experiment is a term taken in use for studies whic...

Quasi-experiment is a term taken in use for studies which resemble experiments but are weak on some of the characteristics, particularly that allocation of the subjects to groups

Explain laplace distribution, Laplace distribution : The probability distri...

Laplace distribution : The probability distribution, f(x), given by the following formula   Can be derived as the distribution of the difference of two independent random var

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd