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

Calculation for continuous series or grouped data, Calculation for Continuo...

Calculation for Continuous Series or Grouped Data = where, m = mid-point of class   =

Find a nash equilibrium, 2 bidders have identical valuations of an object f...

2 bidders have identical valuations of an object for sale. The value of the object is either 0; 50 or 100, with equal probabilities. The object is allocated to one of the bidders i

Coefficient of variation, Coefficient of Variation The standard dev...

Coefficient of Variation The standard deviation discussed above is an absolute measure of dispersion. The corresponding relative measure is known as the coefficient of vari

Case # 2 , Case Problem: A Bipartisan Agenda for Change In a study conducte...

Case Problem: A Bipartisan Agenda for Change In a study conducted by Zogby International, more than 700 New Yorkers were polled to determine whether the New York state government w

ANOVA, Your company operates a machine shop, and, having heard you had expe...

Your company operates a machine shop, and, having heard you had experience in statistics and design of experiments, consulted you for your opinion on an experiment they want to run

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 *

Physics, fixed capacitor and variable capacitor

fixed capacitor and variable capacitor

Quartiles, Related Positional Measures Besides median, there are other ...

Related Positional Measures Besides median, there are other measures which divide a series into equal parts. Important amongst these are quartiles, deciles and percentiles.

Confidence interval, a) List down several measures of central tendency and ...

a) List down several measures of central tendency and define the difference among them? b) What do you mean by confidence interval, and why it is useful? What is a confidence lev

Principles of data analysis, For the data analysis project, you will addres...

For the data analysis project, you will address some questions that interest you with the statistical methodology we are learning in class.   You choose the questions; you decide h

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