Math / Statistics Majors: I need advice

<p>I'm taking a graduate level, 2-semester sequence on calculus-based probability theory and statistical theory. We're using Introduction to Mathematical Statistics by Hogg, McKean, and Craig, which I'm told is a popular text. </p>

<p>I wasn't a math major in undergrad so I'm finding Hogg et al. to be a little on the denser side. Does anyone know of a more accessible textbook or other resource (website?) on probability theory that I can use as a supplement?</p>

<p>A First Course in Probability (calc based) by Ross is probably one of the most popular books out there, and is quite good. Buy one of the older editions like the 7th and you'll get a good price.</p>

<p>I used that book in my undergrad stats class...not really sure why a graduate level class would use it, as it's specifically designed for higher level undergraduate work. It is on the dense side, but it's really not that bad. </p>

<p>Here is a good free textbook focusing on upper undergrad level probability theory:
<a href="http://math.dartmouth.edu/%7Eprob/prob/prob.pdf%5B/url%5D"&gt;http://math.dartmouth.edu/~prob/prob/prob.pdf&lt;/a&gt;&lt;/p>

<p>If you're spending two semesters on the book, you shouldn't be going too fast that it's not manageable.</p>

<p>It shouldn't matter that it's designed for undergrads. He/she asked for an accessible text. It's basically going to be the same stuff as the text that they're already using, just maybe worded in a more understandable manner and/or has more useful example problems. Unless Hogg et al. uses measure theory to study probability, which I doubt it does, it should be useful IMO.</p>

<p>Disregard that last comment marcdvl. I thought you were replying to the book I proposed using.</p>

<p>Amazon.com:</a> Probability: Theory and Examples (Probability: Theory & Examples) (9780534424411): Richard Durrett: Books</p>

<p>I haven't used that book, but I used the author's Stochastic Processes book and it was pretty good (though it has lots of typos).</p>

<p><a href="http://www.amazon.com/Probability-Measure-3rd-Patrick-Billingsley/dp/0471007102/ref=pd_sim_b_3%5B/url%5D"&gt;http://www.amazon.com/Probability-Measure-3rd-Patrick-Billingsley/dp/0471007102/ref=pd_sim_b_3&lt;/a&gt;&lt;/p>

<p>Lots of good reviews but probably more advanced than you want (it teaches the relevant measure theory on the fly).</p>

<p>Hogg doesn't even mention measure theory -- it really is a book designed for junior/seniors interested in stats that have had an intro stats class.</p>

<p>But anyway the book I linked is free and one of the best probability books out there.</p>

<p>I'm not familiar with the Hogg book, but you can try "Statistical Inference" by Casella and Berger. That's the grad level book for Probability Theory and Mathematical Statistics at my school.</p>

<p>The undergrad book we used was "Mathematical Statistics" by Mendenhall and Wackerly. It's an okay book. It's not too difficult of a read, as long as you are able to read mathematics. It does have a solution guide that you can purchase for the odd numbered practice problems. The solution guide is better for the first half of the book. The guy who wrote it seemed to get lazy toward the second half.</p>