Looking for first course textbooks on probability and statistics for math majors












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I am taking a probability and statistics course soon and would like to find a text book that is targeted more towards math majors rather than engineers (which is what this class is).



The book my class will officially be using is Probability and Statistics for Engineering and the Sciences by Devore (ISBN-13: 978-0538733526). To be clear I have not seen the book yet but for now I am assuming it is not what I am looking for.



To give an idea of mathematical maturity and (possibly) relevant background by the time I plan to really start looking through whatever book I end up getting I will be through the integration chapter of Rudin's Principles (ch6), be through a course of point set topology (Topology and Groupoids), and I have familiarity with Linear Algebra (I have been learning from Course of linear algebra and multidimensional geometry by Ruslan Sharipov and getting exercises from various books).



I don't have any real specification other than it doesn't focus on ad-hoc calculation skills and has a good amount of theory. Also the book should be a first course book, so it shouldn't assume previous probably and statistics classes. Also the book could be probability or statistics(not necessarily both). Here are some things that would be nice to have but not necessary: a book that covers a lot of the material from the book that will be used in the class; a book that has special topics or applications to things like number theory or combinatorics (basically anything separate from probability and statistics); not greater than 500 pages; reasonably priced.



There are already many questions that have asked for probability or statistics books, but it is not obvious from the questions and answers (that I have seen) that any of those books fit what I am looking for. It looks like this answer might have what I am looking for but it is hard to tell and its expensive.



Edit:
What am looking for is not necessarily a replacement for this class, I just figure that I might as well learn some probability or statistics at a more sophisticated level while I am taking the required class that I suspect is more focused on calculations.










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  • 1




    $begingroup$
    Though it doesn't contain applications, I like Sheldon Ross' A First Course in Probability.
    $endgroup$
    – David Mitra
    Aug 15 '13 at 15:46






  • 2




    $begingroup$
    North American books with titles that include both probability and statistics are designed for a particular kind of course. They can be good, but are not designed for somebody with your background.
    $endgroup$
    – André Nicolas
    Aug 15 '13 at 15:51








  • 1




    $begingroup$
    @AndréNicolas I figured that is the case. I guess I should put a little more emphasis that the text book I am looking for is not necessarily a replacement for this class, I just figure that I mine as well actually learn some probability or statistics while I am taking the required class.
    $endgroup$
    – Paul Plummer
    Aug 15 '13 at 16:01






  • 2




    $begingroup$
    The Devore book has been around a long time, I used it quite a number of years ago. It is good of its kind,
    $endgroup$
    – André Nicolas
    Aug 15 '13 at 16:08
















3












$begingroup$


I am taking a probability and statistics course soon and would like to find a text book that is targeted more towards math majors rather than engineers (which is what this class is).



The book my class will officially be using is Probability and Statistics for Engineering and the Sciences by Devore (ISBN-13: 978-0538733526). To be clear I have not seen the book yet but for now I am assuming it is not what I am looking for.



To give an idea of mathematical maturity and (possibly) relevant background by the time I plan to really start looking through whatever book I end up getting I will be through the integration chapter of Rudin's Principles (ch6), be through a course of point set topology (Topology and Groupoids), and I have familiarity with Linear Algebra (I have been learning from Course of linear algebra and multidimensional geometry by Ruslan Sharipov and getting exercises from various books).



I don't have any real specification other than it doesn't focus on ad-hoc calculation skills and has a good amount of theory. Also the book should be a first course book, so it shouldn't assume previous probably and statistics classes. Also the book could be probability or statistics(not necessarily both). Here are some things that would be nice to have but not necessary: a book that covers a lot of the material from the book that will be used in the class; a book that has special topics or applications to things like number theory or combinatorics (basically anything separate from probability and statistics); not greater than 500 pages; reasonably priced.



There are already many questions that have asked for probability or statistics books, but it is not obvious from the questions and answers (that I have seen) that any of those books fit what I am looking for. It looks like this answer might have what I am looking for but it is hard to tell and its expensive.



Edit:
What am looking for is not necessarily a replacement for this class, I just figure that I might as well learn some probability or statistics at a more sophisticated level while I am taking the required class that I suspect is more focused on calculations.










share|cite|improve this question











$endgroup$








  • 1




    $begingroup$
    Though it doesn't contain applications, I like Sheldon Ross' A First Course in Probability.
    $endgroup$
    – David Mitra
    Aug 15 '13 at 15:46






  • 2




    $begingroup$
    North American books with titles that include both probability and statistics are designed for a particular kind of course. They can be good, but are not designed for somebody with your background.
    $endgroup$
    – André Nicolas
    Aug 15 '13 at 15:51








  • 1




    $begingroup$
    @AndréNicolas I figured that is the case. I guess I should put a little more emphasis that the text book I am looking for is not necessarily a replacement for this class, I just figure that I mine as well actually learn some probability or statistics while I am taking the required class.
    $endgroup$
    – Paul Plummer
    Aug 15 '13 at 16:01






  • 2




    $begingroup$
    The Devore book has been around a long time, I used it quite a number of years ago. It is good of its kind,
    $endgroup$
    – André Nicolas
    Aug 15 '13 at 16:08














3












3








3


1



$begingroup$


I am taking a probability and statistics course soon and would like to find a text book that is targeted more towards math majors rather than engineers (which is what this class is).



The book my class will officially be using is Probability and Statistics for Engineering and the Sciences by Devore (ISBN-13: 978-0538733526). To be clear I have not seen the book yet but for now I am assuming it is not what I am looking for.



To give an idea of mathematical maturity and (possibly) relevant background by the time I plan to really start looking through whatever book I end up getting I will be through the integration chapter of Rudin's Principles (ch6), be through a course of point set topology (Topology and Groupoids), and I have familiarity with Linear Algebra (I have been learning from Course of linear algebra and multidimensional geometry by Ruslan Sharipov and getting exercises from various books).



I don't have any real specification other than it doesn't focus on ad-hoc calculation skills and has a good amount of theory. Also the book should be a first course book, so it shouldn't assume previous probably and statistics classes. Also the book could be probability or statistics(not necessarily both). Here are some things that would be nice to have but not necessary: a book that covers a lot of the material from the book that will be used in the class; a book that has special topics or applications to things like number theory or combinatorics (basically anything separate from probability and statistics); not greater than 500 pages; reasonably priced.



There are already many questions that have asked for probability or statistics books, but it is not obvious from the questions and answers (that I have seen) that any of those books fit what I am looking for. It looks like this answer might have what I am looking for but it is hard to tell and its expensive.



Edit:
What am looking for is not necessarily a replacement for this class, I just figure that I might as well learn some probability or statistics at a more sophisticated level while I am taking the required class that I suspect is more focused on calculations.










share|cite|improve this question











$endgroup$




I am taking a probability and statistics course soon and would like to find a text book that is targeted more towards math majors rather than engineers (which is what this class is).



The book my class will officially be using is Probability and Statistics for Engineering and the Sciences by Devore (ISBN-13: 978-0538733526). To be clear I have not seen the book yet but for now I am assuming it is not what I am looking for.



To give an idea of mathematical maturity and (possibly) relevant background by the time I plan to really start looking through whatever book I end up getting I will be through the integration chapter of Rudin's Principles (ch6), be through a course of point set topology (Topology and Groupoids), and I have familiarity with Linear Algebra (I have been learning from Course of linear algebra and multidimensional geometry by Ruslan Sharipov and getting exercises from various books).



I don't have any real specification other than it doesn't focus on ad-hoc calculation skills and has a good amount of theory. Also the book should be a first course book, so it shouldn't assume previous probably and statistics classes. Also the book could be probability or statistics(not necessarily both). Here are some things that would be nice to have but not necessary: a book that covers a lot of the material from the book that will be used in the class; a book that has special topics or applications to things like number theory or combinatorics (basically anything separate from probability and statistics); not greater than 500 pages; reasonably priced.



There are already many questions that have asked for probability or statistics books, but it is not obvious from the questions and answers (that I have seen) that any of those books fit what I am looking for. It looks like this answer might have what I am looking for but it is hard to tell and its expensive.



Edit:
What am looking for is not necessarily a replacement for this class, I just figure that I might as well learn some probability or statistics at a more sophisticated level while I am taking the required class that I suspect is more focused on calculations.







probability statistics reference-request






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share|cite|improve this question













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share|cite|improve this question








edited Apr 13 '17 at 12:19









Community

1




1










asked Aug 15 '13 at 15:35









Paul PlummerPaul Plummer

5,22221950




5,22221950








  • 1




    $begingroup$
    Though it doesn't contain applications, I like Sheldon Ross' A First Course in Probability.
    $endgroup$
    – David Mitra
    Aug 15 '13 at 15:46






  • 2




    $begingroup$
    North American books with titles that include both probability and statistics are designed for a particular kind of course. They can be good, but are not designed for somebody with your background.
    $endgroup$
    – André Nicolas
    Aug 15 '13 at 15:51








  • 1




    $begingroup$
    @AndréNicolas I figured that is the case. I guess I should put a little more emphasis that the text book I am looking for is not necessarily a replacement for this class, I just figure that I mine as well actually learn some probability or statistics while I am taking the required class.
    $endgroup$
    – Paul Plummer
    Aug 15 '13 at 16:01






  • 2




    $begingroup$
    The Devore book has been around a long time, I used it quite a number of years ago. It is good of its kind,
    $endgroup$
    – André Nicolas
    Aug 15 '13 at 16:08














  • 1




    $begingroup$
    Though it doesn't contain applications, I like Sheldon Ross' A First Course in Probability.
    $endgroup$
    – David Mitra
    Aug 15 '13 at 15:46






  • 2




    $begingroup$
    North American books with titles that include both probability and statistics are designed for a particular kind of course. They can be good, but are not designed for somebody with your background.
    $endgroup$
    – André Nicolas
    Aug 15 '13 at 15:51








  • 1




    $begingroup$
    @AndréNicolas I figured that is the case. I guess I should put a little more emphasis that the text book I am looking for is not necessarily a replacement for this class, I just figure that I mine as well actually learn some probability or statistics while I am taking the required class.
    $endgroup$
    – Paul Plummer
    Aug 15 '13 at 16:01






  • 2




    $begingroup$
    The Devore book has been around a long time, I used it quite a number of years ago. It is good of its kind,
    $endgroup$
    – André Nicolas
    Aug 15 '13 at 16:08








1




1




$begingroup$
Though it doesn't contain applications, I like Sheldon Ross' A First Course in Probability.
$endgroup$
– David Mitra
Aug 15 '13 at 15:46




$begingroup$
Though it doesn't contain applications, I like Sheldon Ross' A First Course in Probability.
$endgroup$
– David Mitra
Aug 15 '13 at 15:46




2




2




$begingroup$
North American books with titles that include both probability and statistics are designed for a particular kind of course. They can be good, but are not designed for somebody with your background.
$endgroup$
– André Nicolas
Aug 15 '13 at 15:51






$begingroup$
North American books with titles that include both probability and statistics are designed for a particular kind of course. They can be good, but are not designed for somebody with your background.
$endgroup$
– André Nicolas
Aug 15 '13 at 15:51






1




1




$begingroup$
@AndréNicolas I figured that is the case. I guess I should put a little more emphasis that the text book I am looking for is not necessarily a replacement for this class, I just figure that I mine as well actually learn some probability or statistics while I am taking the required class.
$endgroup$
– Paul Plummer
Aug 15 '13 at 16:01




$begingroup$
@AndréNicolas I figured that is the case. I guess I should put a little more emphasis that the text book I am looking for is not necessarily a replacement for this class, I just figure that I mine as well actually learn some probability or statistics while I am taking the required class.
$endgroup$
– Paul Plummer
Aug 15 '13 at 16:01




2




2




$begingroup$
The Devore book has been around a long time, I used it quite a number of years ago. It is good of its kind,
$endgroup$
– André Nicolas
Aug 15 '13 at 16:08




$begingroup$
The Devore book has been around a long time, I used it quite a number of years ago. It is good of its kind,
$endgroup$
– André Nicolas
Aug 15 '13 at 16:08










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$begingroup$

I have answered some similar questions earlier, so give references for those.
Se my answer to
https://stats.stackexchange.com/questions/63760/inference-for-the-skeptical-but-not-math-averse-reader/63820#63820
but maybe my answer to this one
https://stats.stackexchange.com/questions/38082/frequentist-statistics-references-for-someone-well-versed-in-modern-probability/38084#38084
is even more relevant!






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    1 Answer
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    $begingroup$

    I have answered some similar questions earlier, so give references for those.
    Se my answer to
    https://stats.stackexchange.com/questions/63760/inference-for-the-skeptical-but-not-math-averse-reader/63820#63820
    but maybe my answer to this one
    https://stats.stackexchange.com/questions/38082/frequentist-statistics-references-for-someone-well-versed-in-modern-probability/38084#38084
    is even more relevant!






    share|cite|improve this answer











    $endgroup$


















      0












      $begingroup$

      I have answered some similar questions earlier, so give references for those.
      Se my answer to
      https://stats.stackexchange.com/questions/63760/inference-for-the-skeptical-but-not-math-averse-reader/63820#63820
      but maybe my answer to this one
      https://stats.stackexchange.com/questions/38082/frequentist-statistics-references-for-someone-well-versed-in-modern-probability/38084#38084
      is even more relevant!






      share|cite|improve this answer











      $endgroup$
















        0












        0








        0





        $begingroup$

        I have answered some similar questions earlier, so give references for those.
        Se my answer to
        https://stats.stackexchange.com/questions/63760/inference-for-the-skeptical-but-not-math-averse-reader/63820#63820
        but maybe my answer to this one
        https://stats.stackexchange.com/questions/38082/frequentist-statistics-references-for-someone-well-versed-in-modern-probability/38084#38084
        is even more relevant!






        share|cite|improve this answer











        $endgroup$



        I have answered some similar questions earlier, so give references for those.
        Se my answer to
        https://stats.stackexchange.com/questions/63760/inference-for-the-skeptical-but-not-math-averse-reader/63820#63820
        but maybe my answer to this one
        https://stats.stackexchange.com/questions/38082/frequentist-statistics-references-for-someone-well-versed-in-modern-probability/38084#38084
        is even more relevant!







        share|cite|improve this answer














        share|cite|improve this answer



        share|cite|improve this answer








        edited Apr 13 '17 at 12:44









        Community

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        answered Aug 15 '13 at 18:29









        kjetil b halvorsenkjetil b halvorsen

        4,75742638




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