Purchase Solution

Moment Estimation

Not what you're looking for?

Ask Custom Question

Suppose that X is a discrete random variable with P(X=1) = θ and P(X=2)= 1- θ. Three independent observations of X are made: X1 = 1, X2 = 2, X3 = 2.

Find the Method of Moments estimate of θ. Please show your work.

Purchase this Solution
Solution Summary

The solution discusses the moment estimation for a discrete distribution.

Solution Preview

Here it is given that, P(X=1) = θ and P(X=2)= 1- θ
Now the Expectation of the random variable X is given by
E(X) = 1* θ + 2*(1- θ) = θ + 2 - 2θ
...

Purchase this Solution
Free BrainMass Quizzes
Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

View More Free Quizzes
Related BrainMass Solutions

  • Maximum Likelihood Estimation

    What is the relationship between this estimate and the second moment e. If we use second moment to estimate the variance, is the estimation biased? Why? f.

  • Distribution Theory - Estimation

    The moment and maximum likelihood estimation of the parameters of a Rayleigh density are discussed in the solution. The examination of unbiasedness, consistency, sufficiency of the proposed estimators are also discussed.

  • Asymptotic Variance under multiple regression

    Indeed, the IV estimator is simply a special case (a generalization, really) of the 2SLS estimator (and OLS is a special case of IV estimation and GMM is a special case of 2SLS). I refer you to the attached file from Prof.

  • Crushing Force

    A mechanics problem, estimation of crushing force for a given problem.

  • Static Engineering - Beam Question

    (e) Maximum bending moment: S.F. = 0: x= 3.33 m Maximum B.M. = -5*3.33^2/2 + 26.67*(3.33-2) - 10*(3.33-3) = 4.45 kN.m A beam problem, describing shear force and bending moment estimation at different points corresponding to U.d.l. and point loads.

  • First order moments , estimation , estimators

    / (θ+2) ] = θ+1 / θ+2 0 0 the first order moment is nothing but mean

  • significant management estimation

    145630 Significant Management Estimation Describe why accounts involving significant management estimation are generally viewed as inherently risky.

  • Method for Reliable Cost Estimation

    127485 Cost Estimation 2. Of the 2 approaches (below) to cost estimation, which in your view likely produces the most reliable estimates?

  • Pert Estimation vs. Three-Point Estimating

    531423 Pert Estimation vs. Three-Point Estimating Compare and contrast PERT estimation with three-point estimation.

View More Related Solutions