CHAPTER 3 System of Linear Equations
3.1 Gauss Elimination Method 3.2 Algorithm of Gauss Elimination 3.3 Crouts Method 3.4 Inverse of Matrix 3.5 Condition Numbers and Errors 3.6 Iterative Methods
1
Notations
The above system of equations can be written i
Elements of Probability and Statistics
1
Probability and Random Variables
Random Experiment An experiment whose outcomes are not known in advance but the set of all possible outcomes is known. Sample Space S Set of all possible outcomes. Sample Point (El
Elements of Probability and Statistics
1
Probability and Random Variables
Random Experiment An experiment whose outcomes are not known in advance but the set of all possible outcomes is known. Sample Space S Set of all possible outcomes. Sample Point (El
Chapter - 3 Classical Decision theory Test of Hypothesis Nonparametric Method
A multinomial trial with parameters p1 , p2 , , pk is a trial that can result in exactly one of the k possible outcomes. The probability that outcome i will occur on a given tri
Approximate Tests for Proportion
The tests for proportion p are derived using the normal distribution approximation to the binomial distribution. Theorem: If S is the number of successes in n independent Bernoulli trials of an experiment with a constant p
Preliminaries
Inferential Statistics is concerned with estimating the true value of population parameters using sample statistics. The 2 types Of Estimates are:Point Estimate Interval Estimate
Point Estimate:- Single sample statistic that is used to est
Preliminaries
Inferential Statistics is concerned with estimating the true value of population parameters using sample statistics. The 2 types Of Estimates are:Point Estimate Interval Estimate
Point Estimate:- Single sample statistic that is used to est
INVENTORY
BY DHEERAJ BAHL
INVENTORY
Stock of good items maintained to full fill present & future need of an organization Manufacturer:- Raw material stock, spare parts, semi furnished goods Hospital :- Stock of drugs Book-Store :- Books & Stationary
Why
TEST OF HYPOTHESIS
TEST OF HYPOTHESIS
There are many problems in which, rather then estimating the value of a parameter, we need to decide whether to accept or reject statement about the parameter. This statement is called hypothesis and the decision maki
ESTIMATION AND INFERENCE THEORY
ESTIMATION OF PARAMETER TESTING OF HYPOTHESIS
POPULATION
Population is the collection of observations about which conclusions are to be drawn
SAMPLE
Sample is a portion of population.
PARAMETERS
Parameters are statistical
NUMERICAL ANALYSIS AAOC C341
Second Semester 2008-2009 BITS-Pilani, Goa Campus
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Numerical Analysis
Introduction:
Numerical Analysis is very important for mathematicians, Engineers and the related peoples because it provides the desired accurate solution
Mean wheat Treatment 1 Treatment 2 Treatment 3 Treatment 4
x
5 bushels/acre 7 bushels/acre 6 bushels/acre 8 bushels/acre
Is there any significant difference in means ? or Are the obtained means due to chance only ?
Definition of ANOVA
Definition: Analysis
Analysis of Variance
By R. K. Pandey Mathematics Group, BITS-Pilani, Goa Campus.
We are interested to comparing the mean of a populations. Our interest is in testing the null hypothesis that the population means are equal.
H vs H
0
: :
1
=
2
= . .
=
a
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Numerical Analysis
Time: 3:003:50 Location: LT-1 Instructor: Subramania Pillai. I ofce: CC 103, phone 0832-2580442 e-mail: ispillai@bits-goa.ac.in
6-Feb-2009 (1)
I.S.Pillai, CC 103
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The Basic Problem
Given a set of tabular values ( available from an expe