Mini-project #6
Sampling Distributions
Sampling distributions are one of the most important problems in statistics and are used entensively in engineering because
they provide a major simplification on the route to statistical inference. In other words, t
Mini-project #5
Discrete Probability Distributions and Engineering Applications
- Most engineering phenomena are subject to random influences and hence their output are random variables. In order to
model such phenomena, we use probability distribution (P
Mini-project #4
Mathematical Expectations: Mean and Variance
- Civil engineers often conduct various experiments and observations for their purposes. In general, collected data is analyzed
statistically. When a large collection of numbers is assembled, we
Mini-project #3:
Probability Distribution, Discrete and Continuous PDF, Joint PDF
So far, we have studied with some basic concepts in probability. However, there is a need to use mathematical tools for
describing the probability of random variables taking
Mini-project #2:
Probability, sample space, conditional probability
We are now familiar with the concepts of variability, risk, and uncertainty that are very important for civil engineers. This leads
us to the subject of PROBABILITY used to deal with thes
Mini-Project #1:
Introduction to concepts of variability, uncertainty, and risk
All natural phenomena have significant variations in time and space that make a scientists and an engineers tasks both
interesting and challenging. It is therefore important f
Mini-project #10
Continuous Probability Distributions and Fitting a PDF
There are many continuous probability distribution. All of them are widely used in engineering. This mini-project 10 reviews
some of these continuous distribution, methods for estimat
Mini-project #9
Simple Linear Regression
Linear regression is one of the most common techniques in engineering problems. If the correlation shows the two variables x
and y to be linear associated, the linear relations allow one variable to be predicted fr
Mini-project #8
Hypothesis Testing and Goodness of Fit Test
Hypothesis testing is the use of statistics to determine the probability that a given hypothesis is true. The usual process of
hypothesis testing consists of four steps.
1. Formulate the null hyp
Mini-Project #7
Sample Estimation and Prediction Intervals
One of the main objectives of inferential statistics is the reliable estimation of population characteristics of random variables.
These procedures are called estimation methods or estimation tech