Any thoughts on Introduction to Mathematical Statistics by Hogg, Craig, and McKean?

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Discussion Overview

The discussion revolves around the textbook "Introduction to Mathematical Statistics" by Hogg, Craig, and McKean, particularly its suitability for a mathematical statistics course. Participants share their experiences and opinions regarding the book's content, level of difficulty, and its effectiveness as a learning resource, especially for those with limited prior exposure to probability and statistics.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant notes mixed reviews about the book, with some describing it as "fairly good" while others criticize it as "not a good introductory book for statistics."
  • Another participant suggests that the textbook may not be very popular currently, although it was more widely used in earlier editions.
  • A different contributor mentions that the book seems appropriate for someone with a background in multivariable calculus and linear algebra, although they have only minor familiarity with it.
  • One participant expresses concern that the first chapters of Hogg might cover probability theory too lightly, particularly for those unfamiliar with combinatorics.
  • There is a discussion about an alternative textbook by Larsen, which may provide a better introduction to probability and statistics but has less rigorous prerequisites.
  • Participants discuss the potential focus of the course on probability theory, suggesting that additional resources might be necessary for a comprehensive understanding.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the overall quality or suitability of the textbook. There are competing views regarding its effectiveness as an introductory resource and whether an alternative textbook might be preferable.

Contextual Notes

Some participants express uncertainty about the depth of coverage in the Hogg textbook, particularly regarding foundational topics in probability. There is also a mention of prerequisites that may influence the choice of course and textbook.

PieceOfPi
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Any thoughts on "Introduction to Mathematical Statistics" by Hogg, Craig, and McKean?

Dear PF members,

I was looking for a textbook for my mathematical statistics course, and it turns out that Introduction to Mathematical Statics by Hogg, Craig, and McKean will be the book for the course. I've read some reviews on https://www.amazon.com/dp/0130085073/?tag=pfamazon01-20, and it has some various comments like "It's a fairly good book" as well as "It's not a good introductory book for statistics!" So I was wondering if any of you have any comment on this book. I have never taken probability and statistics before (I learned it a little bit in high school, but that's just about it), but I have satisfied the prerequisite for the class (i.e. multivariable calculus and linear algebra).

Thanks
 
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Maybe this isn't a very popular textbook?
 


PieceOfPi

Actually, I think this is a pretty popular text, or at least was in its earlier incarnations. I have only a minor familiarity with it, but it seems that regardless you have to get the book for your class, yes? I recall the book being at a reasonable level for someone with your background. I never really read the book - just picked it up off the shelf in the library and glanced through it, so I cannot say if it is good to learn from. Since you have not mentioned taking a probability class, I am guessing the first part of your course (if not the entire course) will concentrate on probability theory. If you need another book on probability theory to help, I would recommend "a first course on probability" by ross - an old edition can be bought used for little money.

Good luck!
 


Thanks for your reply, jasonRF

jasonRF said:
PieceOfPi
I have only a minor familiarity with it, but it seems that regardless you have to get the book for your class, yes?

Yes, this is for one of the stat course at my school. I also have an option to take another statistics course, which uses https://www.amazon.com/dp/0131867938/?tag=pfamazon01-20 by Larsen. But the prerequisites of the courses that uses Larsen are only the first two quarters of calculus (i.e. differentiations and integrations), and while it might be a better introduction to probability and statistics, I'm afraid the course might be too easy. On the other hand, the course that uses Hogg requires linear algebra and multivariable calculus, and I think it covers more theory than applications. I don't know which is better, but I think it might be better to take the one with Hogg as long as I can handle it.

jasonRF said:
Since you have not mentioned taking a probability class, I am guessing the first part of your course (if not the entire course) will concentrate on probability theory. If you need another book on probability theory to help, I would recommend "a first course on probability" by ross - an old edition can be bought used for little money.

I think the first four chapters of Hogg deals with probability and distributions, and I assume the first quarter of this sequence will probably focus on probability. But I can see another textbook on probability might be better. For example, I've read the first few sections of Hogg (I checked it out from the library), and I feel like the text is covering this stuff pretty lightly (e.g. If I haven't taken combinatorics before, I'd probably be lost around permutations, combinations, and inclusion-exclusion formula, which is in section 1.3).
 
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