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Book Details

Probability & Statistics (Sampling Theory, Curve fitting and Correlation)

Probability & Statistics (Sampling Theory, Curve fitting and Correlation)

Published by uLektz

Course Code : ULZ0268
Author : uLektz
University : General for All University
Regulation : 2017
Categories : Civil
Format : ico_bookePUB3 (DRM Protected)
Type : eBook

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Description :Probability & Statistics (Sampling Theory, Curve fitting and Correlation) of ULZ0268 covers the latest syllabus prescribed by General for All University for regulation 2017. Author: uLektz, Published by uLektz Learning Solutions Private Limited.

Note : No printed book. Only ebook. Access eBook using uLektz apps for Android, iOS and Windows Desktop PC.

Topics
UNIT I RANDOM VARIABLES AND DISTRIBUTIONS

1.1 Introduction- Random variables-Distribution function-Discrete distributions ( Review of Binomial and Poisson distributions)

1.2 Continuous distributions: Normal, Normal approximation to Binomial distribution, Gamma and Weibull distributions

UNIT II Moments and Generating functions

2.1 Introduction-Mathematical expectation and properties

2.2 Moment generating function-Moments of standard distributions ( Binomial, Poisson and Normal distributions) – Properties

UNIT III SAMPLING THEORY

3.1 Introduction - Population and samples

3.2 Sampling distribution of mean for large and small samples (with known and unknown variance)

3.3 Proportion sums and differences of means-Sampling distribution of variance -Point and interval estimators for means and proportions

UNIT IV TESTS OF HYPOTHESIS

4.1 Introduction - Type I and Type II errors

4.2 Maximum error - One tail, two-tail tests

4.3 Tests concerning one mean and proportion

4.4 Two means- Proportions and their differences using Z-test, Student’s t-test - F-test and Chi -square test

4.5 ANOVA for one-way and two-way classified data

UNIT V CURVE FITTING AND CORRELATION

5.1 Introduction - Fitting a straight line

5.2 Second degree curve-exponential curve-power curve by method of least squares

5.3 Simple Correlation and Regression

5.4 Rank correlation - Multiple regression

UNIT VI STATISTICAL QUALITY CONTROL METHODS

6.1 Introduction - Methods for preparing control charts

6.2 Problems using x-bar, p, R charts and attribute charts

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