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

Computer-intensive methods, Computer-intensive methods : The statistical me...

Computer-intensive methods : The statistical methods which require almost identical computations on the data repeated number of times. The term computer intensive is, certainly, a

Factor, The term used in a variety of methods in statistics, but mostly to ...

The term used in a variety of methods in statistics, but mostly to refer to the categorical variable, with a less number of levels, under examination in an experiment as a possible

Relative risk, Relative risk is the measure of the association between the...

Relative risk is the measure of the association between the exposure to a particular factor and the risk or probability of a convinced outcome, calculated as follows     therefor

Explain time series, Time series : The values of a variable recorded, gener...

Time series : The values of a variable recorded, generally at a regular interval, over the long period of time. The observed movement and fluctuations of several such series are

Naor''s distribution, Naor's distribution is the discrete probability dist...

Naor's distribution is the discrete probability distribution which arises from the following model; Assume an urn contains n balls of which one is red and the remainder is whit

Curvature measures, The diagnostic tools or devices used to approach the cl...

The diagnostic tools or devices used to approach the closeness to the linearity of the non-linear model. They calculate the deviation of so-called expectation surface from the plan

Describe nuisance parameter, Nuisance parameter : The parameter of the mode...

Nuisance parameter : The parameter of the model in which there is no scienti?c interest but whose values are generally required (but in usual are unknown) to make inferences about

Recursive models, Recursive models are the statistical models in which the...

Recursive models are the statistical models in which the causality flows in one direction, that is models which include only unidirectional effects. Such type of models do not inc

Bootstrap, Bootstrap : The data-based simulation method/technique for the s...

Bootstrap : The data-based simulation method/technique for the statistical inference which can be used to study the variability of the estimated characteristics of the probability

Evaluate the maximum flow, In the network shown below, the rst of the two ...

In the network shown below, the rst of the two numbers on each arc indicates the arc capacity and the second (in parentheses) of the two numbers indicates the current  flow. Use t

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