Quantitative Methods by SM
Continuous Probability Models
Sujay K Mukhoti
12/16/16
Quantitative Methods by SM
Outilne:
1. Motivation
2. Definition and characteristics: monotone
etc of CDF
3. Pdf & examples for checking pdf
4. Mean, variance: examples
5. Sk
Quantitative Methods by SM
Joint Distribution
Sujay
K Mukhoti
Sujay
Mukhoti
12/16/16
Quantitative Methods by SM
Joint Probability Distributions
Motivation:
Peoples belief: high value orders are served quickly
If you are the manager how would you decide
Quantitative Methods by SM
Normal Distribution
Sujay K Mukhoti
12/16/16
Quantitative Methods by SM
Normal Approximation to Bin(n,p)
Xi = 1, if price of a stock goes up
0, otherwise
Sn = number of up movements of stock prices after n
.
days (assuming ind
Quantitative Methods by SM
Discrete Probability Models: Binomial
Sujay Mukhoti
12/16/16
Quantitative Methods by SM
Probability mass function (pmf)
If X is a discrete random variable then a function f(x)
which gives probabilities for each x is called a pmf
Quantitative Methods by SM
Random Variable and Probability Distribution
Sujay K Mukhoti
12/16/16
Quantitative Methods by SM
Agenda
1. Motivation
2. Random variable: discrete and continuous
3. Probability distribution of discrete random variable
4. Cumulat
Quantitative Methods by SM
Joint Distribution
Sujay
K Mukhoti
Sujay
Mukhoti
12/16/16
Quantitative Methods by SM
Joint Probability Distributions
Motivation:
Peoples belief: high value orders are served quickly
If you are the manager how would you decide
Quantitative Methods by SM
Discrete Probability Models
Sujay K Mukhoti
12/16/16
Quantitative Methods by SM
Poisson Distribution
Sujay Mukhoti
12/16/16
Quantitative Methods by SM
Motivation 1:
Probability of success decreased with more number of trades but
Sampling Distributions and Point Estimation - I
IIM Udaipur
July 21, 2014
In this session you will learn about
A Motivating Example
An Introduction to Sampling
Some basic concepts
Advantages
When to do
Estimation: From sample statistics to population para
Sampling Distributions and Point Estimation - II
IIM Udaipur
July 28, 2014
In this session you will learn about
Sampling Distributions
An example
Sampling distribution of X
Central Limit Theorem
Sampling Distribution of Sample Proportion
Sampling distribu
Notes on Exponential Distribution
Exponential distribution is used to model certain types of data. It is a continuous distribution,
that is, an exponential random variable can take any value within its range. An exponential
random variable has range start
Binomial Model: discussion and another example
We have seen in class, how to apply the binomial model to a practical situation. Recall the
example discussed in class: When a machine functions properly, only 3% of the items produced
are defective. 5 items
Application of Bayes Formula in Health Science
Breast cancer is the most common non-skin malignancy among women in the US. A mammogram is a diagnostic procedure designed to quickly detect breast cancer. A mammogram
can exhibit two kinds of errors - (i) fa