A flow of claims arriving at an insurance company is represented by a homogeneous Poisson process Nt in continuous time. (For now, we just count the number of claims arrived by time t.) Suppose that the mean inter-arrival time is equal to 1/A, where A is a positive parameter. Let the unit of time be an hour. Question 25 Compute Var{S(t)} 2X 11λt 2λt 9xt + 2(xt)²

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
A flow of claims arriving at an insurance company is represented by a homogeneous Poisson process Nt in continuous time. (For
now, we just count the number of claims arrived by time t.) Suppose that the mean inter-arrival time is equal to 1/A, where A is a
positive parameter. Let the unit of time be an hour.
Question 25
Compute Var{S(t)}
2λ
11λt
2xt
9xt + 2(xt)²
Question 26
Which of the following is the m.g.f of S(t)
exp(\(e²² + ½e5² – 1))
exp(\t ( ¾e²² + ½e5z – 1))
-
²e²²+5²
22z
37e52
5z
exp(At (²⁄3e²² + 1⁄3e5²))
2z
Transcribed Image Text:A flow of claims arriving at an insurance company is represented by a homogeneous Poisson process Nt in continuous time. (For now, we just count the number of claims arrived by time t.) Suppose that the mean inter-arrival time is equal to 1/A, where A is a positive parameter. Let the unit of time be an hour. Question 25 Compute Var{S(t)} 2λ 11λt 2xt 9xt + 2(xt)² Question 26 Which of the following is the m.g.f of S(t) exp(\(e²² + ½e5² – 1)) exp(\t ( ¾e²² + ½e5z – 1)) - ²e²²+5² 22z 37e52 5z exp(At (²⁄3e²² + 1⁄3e5²)) 2z
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 11 images

Blurred answer