Likelihood, Advanced Statistics

Assignment Help:

Likelihood is the probability of a set of observations provided the value of some parameter or the set of parameters. For instance, the likelihood of the random sample of n observations

450_likelihood.png 

with probability distribution, f(x,θ) which can be  given by
403_likelihood1.png 
This function is the basis of the maximum likelihood estimation. In number of applications the likelihood includes number of parameters, only a few of which are of interest to investigator. The remaining nuisance parameters are essential in order that the model makes the sense physically, but their values are largely irrelevant of the investigation and the conclusions to be made. Since there are troubles in dealing with likelihoods which depend on a large number of incidental parameters (for instance, maximizing the likelihood will be more tough) some form of modified likelihood is sought which comprises as few of the uninteresting parameters as possible. The number of possibilities is available. For instance, the marginal likelihood, removes the nuisance parameters by integrating them out of the likelihood. The profile likelihood with respect to parameters of interest, is the original likelihood, partly maximized with respect to the nuisance parameters. 


Related Discussions:- Likelihood

Develop an algebraic linear programming model, Duck Lovers Unlimited (DLU) ...

Duck Lovers Unlimited (DLU) Inc. assembles specially configured light jet aircrafts for airborne duck hunting. The quarterly demand forecasts for the upcoming fiscal year are:

Bimodal distribution, Bimodal distribution : The probability distribution, ...

Bimodal distribution : The probability distribution, or we can simply say the frequency distribution, with two modes. Figure 15 shows the example of each of them

Autocorrelation, This graph for Cross Correlation Function for RES1, RES1 s...

This graph for Cross Correlation Function for RES1, RES1 shows that there is possibly negative autocorrelation as there are alternating spikes; also the first spike is negative whi

Probit analysis, Probit analysis  is the technique most commonly employed i...

Probit analysis  is the technique most commonly employed in the bioassay, specifically toxicological experiments where the group of animals is subjected to known levels of a toxin

Chapter 7&8, Chapter 7 2. Describe the distribution of sample means (shape...

Chapter 7 2. Describe the distribution of sample means (shape, expected value, and standard error) for samples of n =36 selected from a population with a mean of µ = 100 and a sta

To create a relative frequency histogram, The total amount of protein produ...

The total amount of protein produced by a dairy cow can be estimated from periodic testing of her milk.  The following are the total annual protein production values (lb) for 28 tw

Describe probability distribution, Probability distribution : For the discr...

Probability distribution : For the discrete random variable, a mathematical formula which provides the probability of each value of variable. See, for instance, binomial distributi

Non parametric maximum likelihood (npml), Non parametric maximum likelihood...

Non parametric maximum likelihood (NPML) is a likelihood approach which does not need the specification of the full parametric family for the data. Usually, the non parametric max

Business Statistic HW., Hello , I have a business statistic HW that is due ...

Hello , I have a business statistic HW that is due after 23 hours exactly for now . I need full and details answers please , plus they must be in a done and typed in a word or exce

Histogram, Histogram is the graphical representation of the set of observat...

Histogram is the graphical representation of the set of observations in which class frequencies are represented by the regions of rectangles centred on the class interval. If the f

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