Weibull distribution with a known shape parameter value

Reference no: EM131056581

Known Weibull shape. For a complete sample of size n from a Weibull distribution with a known shape parameter value ßo and an unknown scale parameter αO, the scale parameter is to be estimated.

(a) Give the sample likelihood function and the log likelihood.

(b) Obtain and solve the likelihood equation for the maximum likelihood estimate & of the scale parameter.

(c) Derive the expression for the sample local Fisher information both in terms of the true value a. of the scale parameter and in terms of the sample estimate.

(d). Derive the expression for the asymptotic Fisher information both in terms of the true value a. of the scale parameter and in terms of the sample estimate & α.

(e)Derive the expressions for the asymptotic variance and standard error for the maximum likelihood estimate h both in terms of the true value a, and the estimate &.

(f) Give expressions for the approximate confidence limits for the true value of the scale parameter-this must be in terms of the estimate ir. (8) Use the results from (b) through (f) and obtain the corresponding sample quantities for the 35-kV data of Table 2.1 of Chapter 7. Assuming.

Reference no: EM131056581

Questions Cloud

Question regarding the compatibility report page : The Setup program displays a Compatibility Report page that can point out possible application compatibility problems. You can sometimes solve these problems by updating or upgrading the applications.

Write a program to see what actually happens on linux : Write a program to see what actually happens on Linux. If we have a variable, tid, containing a thread ID, how can a thread prevent itself from making a call, pthread_join(tid, NULL), that is equivalent to the above statement?

Question regarding the mobile computing security : What are some of the current trends organizations face with mobile computing security and what are some of the remediation steps companies take to ensure data confidentiality and integrity?

Poisson distribution with mean : Poisson λ. Suppose Y, has a Poisson distribution with mean Aot,, where the exposure th is known, k = I,.. ., K, and the Y, are statistically independent.

Weibull distribution with a known shape parameter value : Known Weibull shape. For a complete sample of size n from a Weibull distribution with a known shape parameter value ßo and an unknown scale parameter αO, the scale parameter is to be estimated.

Create a fully complete educational mobile game : You will individually create a fully complete educational (school-age) mobile game using mobile web design skills. You will submit your completed application's project folder as a zip file

Is virtue a relevant influence to our lives today : Analyze the claim by Foot that "virtue belongs to the will." Explain your understanding of the relationship between virtue and the will. Is virtue a relevant influence to our lives today? Provide reasons and examples to support your view.

Write a program to verify this : Recall that a process can be stopped by typing the terminal suspend character (usually Control-Z) and can be sent a SIGCONT signal using the command kill -CONT (or implicitly, using the shell fg command).

Are you familiar with festinger work : Festinger (1957) may be one of the most influential minds in the school of change. His theory set a stage for looking at effective change.Are you familiar with Festinger's work? Please check out his ideas regarding change--specifically cognitive d..

User Account

All Pages