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

How many 6-inch tiles are required to tile the floor, Mark intends to tile ...

Mark intends to tile a kitchen floor, which is 9 by 11 ft. How many 6-inch tiles are required to tile the floor? a. 60 b. 99 c. 396 c. Since the tiles are calculated in

Division of complex number, Division of complex number Now, we gave thi...

Division of complex number Now, we gave this formula a long with the comment that it will be convenient while it came to dividing complex numbers so let's look at a couple of e

Find the ways to choose a president and a secretary, Q. There are 10 studen...

Q. There are 10 students on the school debating team. How many different ways can the team choose a president and a secretary? Ans. There are 10 choices for the president

Hcf, the length of three pieces of ropes are 140cm,150cm and 200cm.what is ...

the length of three pieces of ropes are 140cm,150cm and 200cm.what is the greatest possible length to measure the given pieces of a rope?

Law of Cosines, The law of cosines can only be applied to acute triangles. ...

The law of cosines can only be applied to acute triangles. Is this true or false?

Show that af+bd+ce=ae+bf+cd= 1/2 , In figure, the incircle of triangle ABC...

In figure, the incircle of triangle ABC touches the sides BC, CA, and AB at D, E, and F respectively. Show that AF+BD+CE=AE+BF+CD= 1/2   (perimeter of triangle ABC), Ans:

Core concepts, define marketing and show its core concepts

define marketing and show its core concepts

Fractions, kim had 1/2 an orange. she gave Linda 1/4 of this. What fraction...

kim had 1/2 an orange. she gave Linda 1/4 of this. What fraction of the whole orange did Linda get?

Theorem, #question if two angles of a triangle are unequal in measure then ...

#question if two angles of a triangle are unequal in measure then the side opposite to greater angle is longer than the side opposite to the smaller angle

Definition of random variables, Q. Definition of Random Variables? Ans...

Q. Definition of Random Variables? Ans. Up to this point, we have been looking at probabilities of different events. Basically, random variables assign numbers to element

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