Additional Resources for STAT 7010
o
Formula sheet: basic probability properties.
Most common probability distributions and their mean, variances and MGF. Linear
combination of independent random variables and results related to random
samples.
o
TI 83 commands for probability and statistics.
Commands for finding confidence intervals added.
o
Hypothesis testing for proportions, means and
variances.
o
Exponentials and logarithms
and their basic properties.
o
A useful site with plenty of formula
sheets. (Professor’s Paul Dawkins at
Notes and
Maple or Minitab files
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Applications of counting also see Maple
file. The file needs to be saved first and then opened with Maple. You need
to click edit and execute worksheet to see the output.
o
Computing probabilities with Minitab –
Problems 3.2.8 and 3.2.29. See explanations in Session Window of Minitab file.
o
Computing binomial probabilities, infinite
sums and integrals with Maple. (examples and explanations)
o
Modeling with the Poisson distribution
(Minitab file) problem 4.2.12 text. See also file with commands and
explanations.
o
The Normal Distribution and The Moment
Generating Function (Maple file)
o
Inverse probability problems: finding z-scores
o
Minitab session on Sept. 27 (word
file with instructions): simulation with the normal distribution.
o
Maple file on Oct. 4 (joint probability
computations)
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The method of moments and MLE:
(Maple file).
o
Confidence intervals and properties of
estimators: some examples.
o
Maple file on exercise 5.4.18 (Larsen&
Marx)
o
Example on power of a test. Also Maple file
on power curves.
o
Chi Square, Student –T and F distributions.
o
Sept. 25th: a variety of
applications of expected values, the Poisson distribution and the exponential
distribution.
o
Practice problems for Exam 1
o Additional practice problems for mid-term
o Solutions to practice for mid-term
o
The Probability Web
contains links to online texts and tutorials, applets, and other
resources.
o
Introduction
to Probability by Laurie Snell (pdf file)
o
The
Mathematical Atlas: Statistics rich collection of sites, tutorials and
applications of statistics.
o
A useful site with plenty of formula
sheets. (Professor’s Paul Dawkins at
o
The
lognormal distribution some facts and formulae
o
An interesting
article: “Efficient and Robust
Fitting of Lognormal Distributions”
USDA Economics and
Statistics System at