Statistical estimation, Mathematics

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


Posted Date: 2/19/2013 12:23:53 AM | Location : United States

Related Discussions:- Statistical estimation, Assignment Help, Ask Question on Statistical estimation, Get Answer, Expert's Help, Statistical estimation Discussions

Write discussion on Statistical estimation
Your posts are moderated
Related Questions
what is the expiremental probability that the next toss and spin will result in 3 and tail if 1-heads,53.2-heads,49.3-heads,54.1-tail,65.2-tails,71.3-tails,62

What was the name of Istanbul before its capture by the Turks? Constantinople Byzance Adrienople Nicosia

Q. Probability of Independent Events? Ans. Consider these two events:  {My name is Shirley} {The rain is falling} Are these events related to each other?  No.  My name

provide a real-world example or scenario that can be express as a relation that is not a function

The logarithm of a provided number b to the base 'a' is the exponent showing the power to which the base 'a' have to be raised to get the number b. This number is defined as log a

Recently I had an insight regarding the difference between squares of sequential whole numbers and the sum of those two whole numbers. I quickly realized the following: x + (x+1)

What are some of the interestingmodern developments in cruise control systems that contrast with comparatively basic old systems

how can i solve a multi variable power regression equation..? EX: y=a*(x1^b)*(x2^c).... i need to solve with 4 variable....

Find the full fourier Series of e^x on (-l,l)in its real and complex forms. (hint:it is convenient to find the complex form first)

Kaylee makes 56 packages in seven hours Taylor makes 20% more packages in nine hours who makes more packages per hour