Probability theory, Applied Statistics

Assignment Help:

Origin and Development of probability Theory:

The credit for origin and development of probability goes to the European gamblers of 17th century. They  used to gamble  on games  of  chance  such as throwing  a dice, tossing  up a coin , horse  race, drawing  cards from a pack of cards etc.  For getting success in above games of chances. They started getting the help of mathematicians. By the deep study and calculations of these mathematicians the theory of probability originated. 

All Italian Mathematician Jerome cardoon(1501-1576)   was the first person to write a book on probability, Games  of chances which was published after his  death in 1663. In  this  book he mentioned all risks involved  and rules how to lessen  those risks  Galileo (1564-1642)  an Italian Mathematician, attempted  quantitative   measures  of probability for solving  the problems related  to the theory of dice in gambling. In  mid 17th century two French mathematicians  Blaise  Pascal (1623-1662)    mce_markernbsp; pierre   de fermat  gave  the systematic and scientific foundation of mathematical  theory  of probability. Swisss mathematician  James Bernoulli (1654-1705)  was another  brave and  strong man who made extensive study of the subject  for 2 decades  and introduced Bernoulli theorem and its theory in his book air conjectandi published in 1713  after his death in major contribution to the modern theory    of probability. In 1718 Abrahm de Moivre  (1667-1754)  published his book The  Doctrine of chances and contributed a lot to this subject.   

In 18th &19th century many mathematicians tried to develop scientific method for the development of different theorems of probability. Thomas Bayes (1702-1761) introduced the concept of inverse probability which is also known as bayes . Theorem Pierre Simon   de Laplace (1749-1827) after an extensive research published his book. Theory of Analytical  probability which constitutes the classical theory  of probability; Ronald fisher and von mises introduced empirical approach probability through an idea of sample  space, In 1926   mathematician frank Ramsey published his work the foundation of mathematics and other logical essays  in  which he introduced the theory  of subjective approach to probability. Which was developed  by Richard good Bernard, Coopman  and Lleonard  sweage. This concept is especially used in statistical decision theory.

The modern theory  of probability  was developed by a number of Russian   mathematicians like  Chebychev (1821-1894)  A  markov (1856-1922)  and A .N Kolmogarov. Kolmogarov axionised   the  theory  of probability  and  he published his work foundations of probability  in 1933  in which he introduced  probability as set function and regarded as a classic. 


Related Discussions:- Probability theory

How many possible latin square designs are there, In an agricultural experi...

In an agricultural experiment, we wish to compare the yields of three different varieties of wheat. Call these varieties A, B and C. We have a ?eld that has been marked into a 3 *

Uses of arthematic mean, give me question on mean is the aimplest average t...

give me question on mean is the aimplest average to understand and easy to compute

Frequency distribution, Frequency distribution A frequency distribution...

Frequency distribution A frequency distribution is a series where a number of items with similar values are put in separate groups or bunches. In other words a frequency distri

Two methods of isolating trend values in a time series, a) What is meant by...

a) What is meant by secular trend? Discuss any two methods of isolating trend values in a time series.

Evaluate the probability, "MagTek" electronics has developed a smart phone ...

"MagTek" electronics has developed a smart phone that does things that no other phone yetreleased into the market-place will do. The marketing department is planning to demonstrate

Regression model, Using a random sample of 670 individuals for the populati...

Using a random sample of 670 individuals for the population of people in the workforce in 1976, we want to estimate the impact of education on wages. Let wage denote hourly wage in

Show a simple linear regression analysis, In the early 1990s researchers at...

In the early 1990s researchers at The Ohio State University studied consumer ratings of six fast-food restaurants: Borden Burger, Hardee's, Burger King, McDonald's, Wendy's, and Wh

Sampling, Sampling A  Population  is a collection of all the data point...

Sampling A  Population  is a collection of all the data points being studied. For example, if we are studying the annual incomes of all the people in India, then the population

Cluster sampling, Cluster Sampling This method is also known as multi s...

Cluster Sampling This method is also known as multi stage sampling .Under this method random selection is made of the ultimate or final units from a given stratum. The sampling

Estimate a linear probability model, Estimate a linear probability model: ...

Estimate a linear probability model: Consider the multiple regression model: y = β 0 +β 1 x 1 +.....+β k x k +u Suppose that assumptions MLR.1-MLR4 hold, but not assump

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