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

Interval of validity, The interval of validity for an IVP along with initia...

The interval of validity for an IVP along with initial conditions: y(t 0 ) = y 0 or/and y (k) (t 0 ) = y k There is the largest possible interval on that the solution is va

College Algebra, I am looking for a tutor in College Algebra

I am looking for a tutor in College Algebra

Define regression, Define regression. The main reason of curve fitting ...

Define regression. The main reason of curve fitting is to estimate one of the variables (the dependent variable) from the other (the independent variable). The procedure of est

Write a procedure to obtain the inverse of a matrix, Write a procedure to o...

Write a procedure to obtain the inverse of an n by n matrix usingGaussian elimination. (You cannot use A - 1 or any of the built-in packages like 'MatrixInverse'.) Output any a

Lines, i dont understand angels and lines

i dont understand angels and lines

Equivelent ratios, if 2 ballons cost 12 coins,use equivelent ratios to see ...

if 2 ballons cost 12 coins,use equivelent ratios to see how many coins 8 ballons would cost

Proof by Condratiction, "Prove by contradiction that no root of the equatio...

"Prove by contradiction that no root of the equation x^18 -2x^13 + x^5 -3x^3 + x - 2 = 0 is an integer divisible by 3" Any help would be very much appreciated!

Evaluate the perimeter of the plot of land, Evaluate the perimeter of the p...

Evaluate the perimeter of the plot of land. a. 260 m b. 340 m c. 360 m d. 320 m To evaluate the perimeter, we must know the length of all sides. According to the dia

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