Usefulness of the resulting estimator

Assignment Help Basic Statistics

Reference no: EM13990684

Suppose that Y has a Poisson distribution, P(Y = k) = e-λλk/ k!, k = 0, 1,... . Suppose Y can be observed only when Y ≥ 1, and we have no other information about λ. The problem is to estimate e-λ. Let V be an unbiased estimator of e-λ, so that V (k) is defined for k = 1, 2,..., with J,k≥1 e- λλk V (k)/(k!(1 - e -λ)) = e -λ, for all λ > 0. Solve, if possible, for the V (k) and comment on the properties and usefulness of the resulting estimator.

Reference no: EM13990684

Questions Cloud

Problem unique unbiased estimator : Then K/n is the usual unbiased estimator of p. Show that for n = 2 there is a unique unbiased estimator of p2. For what value(s) of K are its values remarkable?

Explain the audit risk model to the decision makers : How would you explain the audit risk model to the decision makers at AV Imports and Exports? Research risk assessment using your textbook and the Argosy University online library resources and prepare a response. In your response, include the foll..

Write a simple shell program : Execute commands with multiple arguments - You are asked to write a simple shell program called minish.

What''s a good way to memorize the elements in chemistry : What's a good way to memorize the elements in Chemistry? I know it's a dumb question but are there any suggestions for quick memorization? What is recommended?

Usefulness of the resulting estimator : The problem is to estimate e-λ. Let V be an unbiased estimator of e-λ, so that V (k) is defined for k = 1, 2,..., with J,k≥1 e- λλk V (k)/(k!(1 - e -λ)) = e -λ, for all λ > 0. Solve, if possible, for the V (k) and comment on the properties and use..

An oxide of vanadium is 43.99% oxygen by mass : An oxide of vanadium is 43.99% oxygen by mass. What is the empirical formula of this oxide?

Determine the frequency of the motion : At t = 0, a 740g mass at rest on the end of a horizontal spring (k = 115N/m) is struck by a hammer, which gives it an initial speed of 2.82m/s. Determine the period of the motion. Determine the frequency of the motion.

Decrease as you go across the periodic table : Does the ionization energy increase or decrease as you go across the periodic table?

Identify and describe an example of interdependent variances : The differences identified in variance analysis are often interdependent. Identify and describe an example of interdependent variances, and discuss the trade-off that exists.

User Account

All Pages