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

Simple linear regression, Simple Linear Regression   While correlati...

Simple Linear Regression   While correlation analysis determines the degree to which the variables are related, regression analysis develops the relationship between the var

Diversity of data for the age, The box plot displays the diversity of data ...

The box plot displays the diversity of data for the age; the data ranges from 19 being the minimum value and 60 being the maximum value. The box plot is positively skewed at 0.57 a

Explain the central tendency, Explain what central tendency and variability...

Explain what central tendency and variability are. In your answer define what the mean, median, mode, variance, and standard deviation are. What is the difference between the descr

Stk, The mean tax-return preparation fee H&R Block charged retail customers...

The mean tax-return preparation fee H&R Block charged retail customers in 2012 was $183 (The Wall Street Journal, March 7, 2012). Use this price as the population mean and assume t

Graphical calculation for mode, For calculating the mode of the grouped dat...

For calculating the mode of the grouped data graphically, the following procedure is adopted. Draw a histogram of the data; the modal class is the tallest rectangle.

Multiple regression analysis, Complete the multiple regression model using ...

Complete the multiple regression model using Y and your combined X variables.  State the equation.  Next, make sure that you evaluate overall model performance with the Anova table

Time series, Year Production 2006 8 2007 6 2008 10 2009 12 2010 11 2011 15 ...

Year Production 2006 8 2007 6 2008 10 2009 12 2010 11 2011 15 2012 14 2013 16 Determine the trend from data given above?

Confidence interval, for this proportion, use the +-2 rule of thumb to dete...

for this proportion, use the +-2 rule of thumb to determine the 95 percent confidence interval. when asked if they are satisfied with their financial situation, .29 said "very sat

Explain ridge regression, Using log(x1), log(x2) and log(x3) as the predict...

Using log(x1), log(x2) and log(x3) as the predictors, do pair wise scatterplots of all pairs of variables (including the response) and comment (use the pairs function). Do you thin

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