Homework Help is Here – Start Your Trial Now!
Math
Statistics
8. Show that the m.g.f. about the mean for a Poisson variate is exp {m (e-t-1). Obtain from this the variance of the distribution. Hence or otherwise show that the standardized Poisson variate tends to the standardized normal variate as m→→→∞.

8. Show that the m.g.f. about the mean for a Poisson variate is exp {m (e-t-1). Obtain from this the variance of the distribution. Hence or otherwise show that the standardized Poisson variate tends to the standardized normal variate as m→→→∞.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
See similar textbooks
icon
Related questions
Question
8. Show that the m.g.f. about the mean for a Poisson variate is exp {m (e² — t − 1)}. Obtain from this the variance of the distribution. Hence or otherwise show that the standardized Poisson variate tends to the standardized normal variate as m→→→∞.
Transcribed Image Text:8. Show that the m.g.f. about the mean for a Poisson variate is exp {m (e² — t − 1)}. Obtain from this the variance of the distribution. Hence or otherwise show that the standardized Poisson variate tends to the standardized normal variate as m→→→∞.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer