Material for studying probability and statistics

[stucano]

Hi guys,

I'm having trouble with this book - "Introduction to Probability and Statistics for Engineers and Scientists" by Sheldon M. Ross. The explanations are very short and often lack necessary details, the examples are very hard and apparently some full of errors. I just can't study from it and it's becoming incredibly frustrating.

I'm mostly doing self-study with video lectures when needed but I need a good book for this. My course's curriculum for the probability part is Chapters 3, 4 and 5. Here are the details:

Chapter 3 - Elements of probability
* Conditional probability
* Bayes' Formula
* Independent events

Chapter 4 - Random variables and Expectation
* Random variables, types
* Jointly distributed random vars
* Expectations
* Properties of expected value
* Variance, covariance and variance of sums of rand vars
* Moment generating func
* Chebyshev's inequality and the weak law of large numbers

Chapter 5 - Special random variables
* Bernoulli random variables
* Poisson random variable
* Hypergeometric random variable
* Uniform random variable
* Normal random variable
* Exponential random variable
* Gamma distribution
* Distributions arising from the normal
- Chi-Square, t-Distribution, F-distribution
* Logistics distribution

We cover probability first then statistics. Can anyone please recommend a good substitute that has all the above material? Anything would be useful, course notes, book(s), other materials even if they are just parts of the above chapters.

 

[micromass]

Here's a very good site with very nice applets: http://www.uah.edu/science/departments/math/ Spending some time studying the applets could mean a world of difference for your understanding.

 

[stucano]

Here's a very good site with very nice applets: http://www.uah.edu/science/departments/math/ Spending some time studying the applets could mean a world of difference for your understanding.

There are no applets as far as that site goes. It's not so much about visualizing, it's more about the textbook I quoted having very brief explanations and it's not enough. From the reviews online it seems that other students agree.

I found this book: Introduction to Probability, 2nd Edition by Dimitri P. Bertsekas and John N. Tsitsiklis, which seems to be good with good reviews. Book contents are here http://www.athenasc.com/probcontents.html.

It seems to be missing some concepts but all in all it covers most of the topics I listed, but it does so in ~500 pages. Should be interesting.

 

[micromass]

Sorry, wrong link http://www.math.uah.edu/stat/