Find sufficient statistics for the parameters

Assignment Help Mathematics

Reference no: EM13972897

Problem 1:

Consider a sample from the pdf

f(x) = 1/θ exp{-(x - θ)/θ}, x > θ,

where θ > 0 is a parameter.

1. Find an estimator of the parameter using the method of moments.

2. Find a sufficient statistic for the parameter.

Problem 2:

Consider a sample from the pdf

f(x) = [λ/2Πx³]^1/2 exp{-λ(x - μ)²/2μ²x}, x > 0,

where λ > 0 and μ > 0 are parameters.

1. Find an estimator of the parameters using the method of moments.

2. Find sufficient statistics for the parameters.

Reference no: EM13972897

Questions Cloud

Additional shares of common stock : a. How many additional shares of common stock could Kimberly-Clark sell? (Enter your answer in millions. Round your answer to 1 decimal places.)

What is the portfolio beta : ABC Capital holds the following portfolio: Stock Investment Beta A $150,000 1.40 B $75,000 0.80 C $75,000 1.00 D $75,000 1.20 Total $375,000 What is the portfolio's beta?

Computing the cost of equity : Assume that ABC Inc. hired you as a consultant to help estimate its cost of capital. You have obtained the following data: D0 = $0.90; P0 = $30.00; and g = 6.00% (constant). Based on the DCF approach, what is its cost of equity?

Find the ratio between light intensity emerges : Unpolarized light of intensity I0 is incident on a stack of 7 polarizing filters, each with its axis rotated 12o with respect to the previous filter. Find the ratio between light intensity emerges

Find sufficient statistics for the parameters : Find an estimator of the parameter using the method of moments - find a sufficient statistic for the parameter and find sufficient statistics for the parameters.

First national bank audit : The risk of a substantial misstatement in any one savings account is more significant for The First National Bank audit because of the concept of:

Cash flow on total assets ratio equals : A company had average total assets of $3,216,000, total cash flows of $1,320,000, cash flows from operations of $554,000, and cash flows for plant assets of $850,000. The cash flow on total assets ratio equals:

Review of academic research literature on a specific topic : The research paper involves a thorough review of academic research literature on a specific topic or issue involving a critical infrastructure.Specifically, a local site is to be examined and discussed.

Available assurance service to clients : Explain the auditing and other assurance services your firm offers and the benefit each has for the client. Explain your role in providing the available assurance service to clients.

User Account

All Pages