=+27.18. 21.21 Stirling's formula. Let S ,, = X, + . . . +X ,,, where the

Question:

=+27.18. 21.21 Stirling's formula. Let S ,, = X, + . . . +X ,,, where the X ,, are indepen-

dent and each has the Poisson distribution with parameter 1. Prove succes-

sively

- n F

-"E(") k ="

n - k n" +(1/2)e -1

(a) E In n!

Sp -n

(b)

=N7.

Vn S, - n 1

(c) E

-EN-]=

Vn 12 TT

(d) n! ~ 1/2" n" +(1/2) e **

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Probability And Measure Wiley Series In Probability And Mathematical Statistics

ISBN: 9788126517718

3rd Edition

Authors: Patrick Billingsley

See More Books

Question Posted: Sep 11, 2024 02:01 AM

See More Questions

Describe the impact of mobile computing upon your business and project its impact in the future. Do the same for social media. In both cases, when considering impacts, consider how each technology...
Identifying the ethical responsibilities of tax practitioners in preparing, defending, and assisting in tax planning for their clients and discuss how the Jesuit Principles apply to the roles and...
What is dolomite or dolostone?
=+27.18. 21.21 Stirling's formula. Let S ,, = X, + . . . +X ,,, where the X ,, are indepen- dent and each has the Poisson distribution with parameter 1. Prove succes- sively - n F -"E(") k =" n - k...
Anderson acquires 10 percent of the outstanding voting shares of Barringer on January 1, 2011, for $96,620 and categorizes the investment as an available-for-sale security. An additional 20 percent...
Question 1 [25 points]. Consider the problem 1prmp2djCj. Assuming that there are feasible schedules, give an algorithm and prove its optimality for this problem. Hint: which job should you schedule...
=+27.19. Let ( ,, (w) be the length of the run of 0's starting at the nth place in the dyadic expansion of a point w drawn at random from the unit interval; see Example 4.1.
=+1 10-a2/2 me - 0}(1+ 34)/2 (27.29) P[S,a,Vn]~ 12 TT , where ( ,, - + 0 if a ,, - . For a case in which this does hold, see Theorem 9.4.
Westside Auto purchases a component used in the manufacture of automobile generators directly from the supplier. Westsides generator production operation, which is operated at a constant rate, will...
Compliance with the enhanced financial disclosures associated with issuer reports includes all the following details except: A. Disclosure of transactions with principal shareholders. B. Verification...
Distinguish between personal and professional ethics decisions. Use an example of an employee of a new technology company to illustrate the differences in decision making between these two areas.
Riding a bicycle at a constant speed requires the rider to provide enough constant force to the pedals to overcome the resistance forces. To make this problem easier to calculate, assume that there...
7. Question 7 Refer to Step 3.3. In the "Unconstrained " or "Short Selling " version of the optimal risky portfolio, what is the portfolio mean ? Write your answer as a percentage ,with no percentage...
In a case analysis, if a coffee company, who is trying to expand in China faces the primary problem of coming up with the best plan to catch up to competitors that currently have locations throughout...
Explain how the perfect gas equation of state arises by combination of Boyle's law, Charles's law, and Avogadro's principle.
Differentiate the following terms/concepts: a. Personality types and money attitudes b. Planners and avoiders c. Moderating and adapting to biases d. "Perfectible judges" and "incorrigible judges"

=+27.18. 21.21 Stirling's formula. Let S ,, = X, + . . . +X ,,, where the

Question:

Step by Step Answer:

Probability And Measure Wiley Series In Probability And Mathematical Statistics

Students also viewed these Business questions