Statistical estimation, Mathematics

Assignment Help:

Statistical estimation

This is the procedure of using statistic to estimate a population parameter

This is divided into point estimation whereas an estimate of a population parameter is described by a single number and interval estimation whereas an estimate of a population is described by a range whether the parameter may be considered to lie for illustration, a bus meant to take a class of 100 students as population N for trip has a limit to the maximum weight of 600 kilogram (kg) of which it can carry, the teacher realizes he has to determine the weight of the class but without sufficient time to weigh everyone he picks 25 students selected at random as like sample n = 25.  These students are weighed and their average weight recorded as 64 kilogram(kg) (x¯ - mean of a sample) along with a standard deviation (s), now by using this the teacher intends to estimate the average weight of the whole class (µ - population mean) by utilizing the statistical parameters standard deviation (s), and mean of the sample (x¯).

Characteristic of a good estimator

(i) Unbiased: whereas the expected value of the statistic is equal to the population parameter for illustration, if the expected mean of a sample is equal to the population mean

(ii) Consistency: whereas an estimator yields values more closely approaching the population parameter like the sample increases

(iii) Efficiency: whereas the estimator has smaller variance on repeated sampling.

(iv) Sufficiency: whereas an estimator uses all the information available in the data relating to a parameter

 


Related Discussions:- Statistical estimation

Pythagorean theorem, when one side of a triangle is 15cm and the bottom of ...

when one side of a triangle is 15cm and the bottom of the triangle is 12cm what would x be rounded to the nearest tenth?

Solid Mensuration, The two sides of a triangle are 17cm and 28cm long, and ...

The two sides of a triangle are 17cm and 28cm long, and the length of the median drawn to the third side is equal to 19.5 cm. What is the distance from an endpoint of the median to

Compute the derivative, Write an octave program that will take a set of poi...

Write an octave program that will take a set of points {x k , f k } representing a function and compute the derivative at the same points x k using 1. 2-point forward di erence

Monica, Express area of a square with sides of length 5ab as a monomial.

Express area of a square with sides of length 5ab as a monomial.

If the squared difference of the zeros find the value of p, If the squared ...

If the squared difference of the zeros of the quadratic polynomial x 2 + p x + 45 is equal to 144 , find the value of p.

Geometry, how to find the sum of the measure of the interior angles of each...

how to find the sum of the measure of the interior angles of each convex polygon

Find solution manual, i need solution manual of "calculus and analytic geom...

i need solution manual of "calculus and analytic geometry thomas 6th edition book "

John and charlie have a whole of 80 dollars he has x dollar, John and Charl...

John and Charlie have a whole of 80 dollars. John has x dollars. How much money does Charlie have? This problem translates to the expression 42 + (11 - 9) ÷ 2. Using order of o

How to add mixed numbers, Q. How to Add Mixed Numbers? Ans. If you...

Q. How to Add Mixed Numbers? Ans. If you have to add mixed numbers, you might try this method first: First rewrite the mixed number as a whole number plus a fracti

Write Your Message!

Captcha
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