Find a sufficient statistic for q

Assignment Help Basic Statistics
Reference no: EM132844710

a) Multinomial vector (x1, x2, x3, x4) with cell probabilities given by (1/2 + Q/4, 1/4(1-Q), 1/4(1-Q), Q/4) (Q = theta)

-Show that this is a curved exponential family?

-Find a sufficient statistic for Q?

-Find minimal sufficient statistic for Q?

b) Let X1, .... Xn be a random sample from a population with location pdf f(x-Q). Show that the order statistics, T(X1, ...., Xn) = (X(1), ... X(n)) are a sufficient statistics for Q and no further reduction is possible?

Reference no: EM132844710

Questions Cloud

How much the drug will lower a typical patient systolic : The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure
Compute the sample mean and standard deviation : Following a sample of the incomes (in thousands of dollars) of eight U.S. residents selected at random 50, 40, 60, 20, 90, 10, 30, 20
Calculate the confidence intervals : 1. Use the sample information ×=40, s = 4, n = 20 to calculate the following confidence intervals for µ assuming the sample is from a normal population.
Find distribution to approximate the binomial distribution : A binomial experiment is given. Decide whether you can use the normal distribution to approximate the binomial distribution. If you? can, find the mean and stan
Find a sufficient statistic for q : a) Multinomial vector (x1, x2, x3, x4) with cell probabilities given by (1/2 + Q/4, 1/4(1-Q), 1/4(1-Q), Q/4) (Q = theta)
Determine probability of failure : The Pew Research Center reports that they are only able to contact 76% of randomly selected households drawn from telephone surveys. Supposed a pollster has a l
Find the mean and standard deviation : Find the mean and standard deviation for each uniform continuous model. (Round "Mean" answers to 1 decimal place and "Standard deviation" answers to 4 decimal p
Find out quantifying significance : Quantifying Significance. What does it mean to say that a particular result is statistically significant at the 0.05 level or at the 0.01 level? Is a result tha
Estimate the average number of killings per week : Create a 95% confidence interval to estimate the average number of killings per week that are seen by junior high students in the population.

Reviews

Write a Review

Basic Statistics Questions & Answers

  Lower limit with 3 decimal places

A sample of 10 widgets has a mean of 23.050 and standard deviation of 6.450. At 90% confidence, the lower limit with 3 decimal places is?

  Joe used a project management software package and has

joe used a project management software package and has determined the following results for a given project. expected

  To determine the efficiency of the current ticket operation

mike dreskin manages a large los angeles movie theater complex called cinema l ll lll lv. each of the four auditoriums

  Compute measures of central tenancy and a dispersion

The price in dollars of a gallon of gasoline at the end of each month is recorded for one year.

  Should the researcher use t or z to compute this interval

Respond to each of the following questions being sure to show all of your work in the space(s) provided.

  Suppose there are 10 drawers each containing two coins

suppose there are 10 drawers each containing two coins. drawers 1 and 2 contain only gold coins while in drawers 34 and

  What is probability that this result could be due to chance

Suppose that in a pharmacologic study involving 6000 patients,75 patients have blood-glucose levels at least 1.5 times the upper limit of normal on one occasion. What is the probability that this result could be due to chance?

  When is the spearman rank order correlation used

How can partial correlation help researchers explore possible causal relationships among correlated variables?- When is the Spearman rank-order correlation used?

  Should you buy it and how long should you wait to sell it

Should you buy it and how long should you wait to sell it (consider only integer years), and how much money will you receive at the time of its sale?

  Find the probability that four or more are introverts

In a group of 6 computer programmers, what is the probability that none are introverts? What is the probability that 4 or more are introverts?

  Find how high must student score be to win award

Student who scores in the top 5% of statewide scores. How high should a student score be to win this award? Give your answer to the nearest integer.

  What was the number of families used in this study

What are the predicted sales - What was the number of families used in this study - determine whether an individual independent variable is significant?

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd