I took Mathematical Statistics twice. I researched every math stat book in existence, and I bought and used about a dozen. This book is by far the best and the only one you need. Study the book, work the problems, and buy the solutions manual as an aid, and you will be set. It was far clearer than my instructors.
Sadly there doesn't appear to be an intermediate book that is this good. McClave is great for beginners, especially due to its example-driven approach towards conditional probability and handy decision trees. Meanwhile, Wackerly is great for mathematical stats. Similarly good books are available on multivariate, time series, Bayesian etc . But the intermediate book was dastardly hard to find. Stats contains a lot of small things... and by a lot, I mean a lot. When it comes to intermediate algebra, precalc, or calc, any given book covers pretty much the same topics as all the other books. Maybe an intermediate algebra book contains some chapters from precalc, or a precalc book contains some preliminaries or an intro to calc. But these are merely overlaps. You do not miss anything if you pick any combo. The same is not true for stats. After a lot of search, I settled upon an Indian book called Fundamentals of Statistics by S. C. Gupta. It still lacks some proofs, and the problems are not difficult enough. Still, it is quite comprehensive.
@@ucchi9829 Will check it out, thanks. Most books gloss over the basics. A first-year is primarily expected to be very good with the basics up to Central tendency, dispersion, skewness, moments, kurtosis, correlation, regression, & conditional probability. We are required to know all the intricacies of AM, GM, HM, inclusive, exclusive, non-homogeneous class intervals etc. We are also required to do basic proofs like the mean-median-mode relationship, skewness-kurtosis relationship using cauchy-schqarz inequality, and all the equations of the moments.
I recently reflected on what areas of mathematics I'd have to focus on in concordance with my current goals. I decided on statistics and as I was looking for better resources, you blessed my notifications with this! Thank you so much!
It is also my favorite mathematical statistics book. I just finished a Mathematical Statistics A course with this in the Fall. I would say, the most difficult part was just knowing how to decide on the limits of integration. If you did really well in Calculus 3 ( mult var calculus), you will do just fine mathematics wise. Until I really start working on Real Analysis, I won't read the next level up from this, Statistical Inference by C&B. For now, this is a great book!
Yeah definitely more advanced than what I have studied till now. Will probably pick this up and start solving it after I'm done with my statistical tools and techniques books. But again I'm not sure if all of this studying will help me actually apply this in my research works and what not, I barely need to apply most of the stuff I have learnt by now, it might also have to do with the fact that I have not really tackled anything that complex or advanced.
In retrospect I am very thankful that I was taught rpobability and statistics with a semester of measure theroy before the probability stuff. It really helps for such things like diffusion (diffusion models in AI, for example) to better grasp the special situation when both the time axis and the value axis of a stochastic process are continuous. and not discrete ...
At my school math majors studied two semesters of stats with the Hogg/Tanis book, and math minors/secondary Ed math teacher track students took one semester with this book, and almost every student in my class hated the Wackerly book, but I liked it. I don't know about now, but 10 years ago the first 6 chapters of this book were recommended for studying for the first Actuarial exam.
Sir, could you talk about intelligence and is there any way to improve it by practicing logic and reasoning, because some time I think to myself that it's hard to improve for someone who is less intelligent and it makes a big difference in adapting with new situations. I heard about neuroplasticity and I think that it works through adulthood which gave me some hope that I can change, however I'm skeptical about whether you can improve or you just mentally decline with age, I trust your word so I wish you make a video about this topic
John Rice's math stat book is the next incramental step, Cascella and Berger and is a larger step. If you know lnear models you can get In All Likelihood by Pawitan. It's a book on estimation.
@@walter274 Could you help me with something, could you tell me what mathematics background I need to have in order to understand Chapter 2 of this free book named Pattern Recognition and Machine learning, written by Bishop, which is about manipulating Gaussian Distributions, even in the multi n-dimensions field. I am reading it, but everything is going straight over my head... (I have some background in Linear Algebra, Calc 1 to 3, Statistics but everything seems so out of reach... and I don't even know where to begin in order to eventually understand the chapter) Here is a small excerpt from Chapter 2.3 The Gaussian Distribution "The Gaussian distribution has many important analytical properties, and we shall consider several of these in detail. As a result, this section will be rather more technically involved than some of the earlier sections, and will require familiarity with various matrix identities. However, we strongly encourage the reader to become proficient in manipulating Gaussian distributions using the techniques presented here as this will prove invaluable in understanding the more complex models presented in later chapters." I would really appreciate if you could help, even better if you downloaded the free book and saw the chapter for yourself. Sorry for the long comment your help and valuable advise is much appreciated!
Sir, I'm a high school student and I wanted to know whether I can start learning statistics with this book or any other book, because I've already completed my statistics course of grade 11. But it's too much of a beginner's cup of tea. Advice me sir.
You could in theory jump into this! It would be tough but I think it's the logical next step. Knowing some calculus and proof writing helps, but you can always start:)
@@TheMathSorcerer really thanks for your advice sir, then I'll try to do calculus and basic proving books. Then I'll come to this. I truly appreciate that!
Would you say this is a good follow up to get hand on the statistics side of things after the first 5 chapters of Sheldon Ross “A first course in probability” ?
I just took a very difficult one semester math stats course, it covered the equivalent of the first 10 chapters of this book. Edit: we used a different, inferior book.
Stop making these books I keep buying books because of you! The higher algebra book is very interesting it has a lot of topics that are not algebra though. It's sort of a catch-all advanced math book
![I.N "HALLUCINATION" | [Stray Kids : SKZ-PLAYER]](http://i.ytimg.com/vi/n5B5q1Hwt_U/mqdefault.jpg)
I took Mathematical Statistics twice. I researched every math stat book in existence, and I bought and used about a dozen. This book is by far the best and the only one you need. Study the book, work the problems, and buy the solutions manual as an aid, and you will be set. It was far clearer than my instructors.
Sadly there doesn't appear to be an intermediate book that is this good. McClave is great for beginners, especially due to its example-driven approach towards conditional probability and handy decision trees. Meanwhile, Wackerly is great for mathematical stats. Similarly good books are available on multivariate, time series, Bayesian etc .
But the intermediate book was dastardly hard to find. Stats contains a lot of small things... and by a lot, I mean a lot. When it comes to intermediate algebra, precalc, or calc, any given book covers pretty much the same topics as all the other books. Maybe an intermediate algebra book contains some chapters from precalc, or a precalc book contains some preliminaries or an intro to calc. But these are merely overlaps. You do not miss anything if you pick any combo.
The same is not true for stats. After a lot of search, I settled upon an Indian book called Fundamentals of Statistics by S. C. Gupta. It still lacks some proofs, and the problems are not difficult enough. Still, it is quite comprehensive.
I'm assuming you're talking about for undergrad right? What about Hogg?
@@adorp Look up Mathematical Methods in Statistics by Freedman
@@ucchi9829 Will check it out, thanks.
Most books gloss over the basics. A first-year is primarily expected to be very good with the basics up to Central tendency, dispersion, skewness, moments, kurtosis, correlation, regression, & conditional probability. We are required to know all the intricacies of AM, GM, HM, inclusive, exclusive, non-homogeneous class intervals etc. We are also required to do basic proofs like the mean-median-mode relationship, skewness-kurtosis relationship using cauchy-schqarz inequality, and all the equations of the moments.
This was the book for my graduate program in Statistics. Great book!
I recently reflected on what areas of mathematics I'd have to focus on in concordance with my current goals.
I decided on statistics and as I was looking for better resources, you blessed my notifications with this! Thank you so much!
It is also my favorite mathematical statistics book. I just finished a Mathematical Statistics A course with this in the Fall. I would say, the most difficult part was just knowing how to decide on the limits of integration. If you did really well in Calculus 3 ( mult var calculus), you will do just fine mathematics wise. Until I really start working on Real Analysis, I won't read the next level up from this, Statistical Inference by C&B. For now, this is a great book!
Yeah definitely more advanced than what I have studied till now.
Will probably pick this up and start solving it after I'm done with my statistical tools and techniques books.
But again I'm not sure if all of this studying will help me actually apply this in my research works and what not, I barely need to apply most of the stuff I have learnt by now, it might also have to do with the fact that I have not really tackled anything that complex or advanced.
I bought this excellent book (Edition 6) a few months ago after seeing your recommendation in an earlier video. Thank you for your good advice.
We used the same advanced calc book, same math stat book, and same complex book.
In retrospect I am very thankful that I was taught rpobability and statistics with a semester of measure theroy before the probability stuff. It really helps for such things like diffusion (diffusion models in AI, for example) to better grasp the special situation when both the time axis and the value axis of a stochastic process are continuous. and not discrete ...
Thanks a million from Ireland
Currently using and used this text book for probability and mathematical statistics.
Great work 💯
At my school math majors studied two semesters of stats with the Hogg/Tanis book, and math minors/secondary Ed math teacher track students took one semester with this book, and almost every student in my class hated the Wackerly book, but I liked it. I don't know about now, but 10 years ago the first 6 chapters of this book were recommended for studying for the first Actuarial exam.
Sir, could you talk about intelligence and is there any way to improve it by practicing logic and reasoning, because some time I think to myself that it's hard to improve for someone who is less intelligent and it makes a big difference in adapting with new situations. I heard about neuroplasticity and I think that it works through adulthood which gave me some hope that I can change, however I'm skeptical about whether you can improve or you just mentally decline with age, I trust your word so I wish you make a video about this topic
That was the textbook I had in my probability and statistics clasd years ago
I remember really enjoying mathematical stats. It wasn’t easy but I had a good professor
I've read this book. It is indeed excellent.
Loved the video, i had this book in a course i took, anyone has another similar book, maybe more advanced?
John Rice's math stat book is the next incramental step, Cascella and Berger and is a larger step. If you know lnear models you can get In All Likelihood by Pawitan. It's a book on estimation.
@@walter274 Could you help me with something, could you tell me what mathematics background I need to have in order to understand Chapter 2 of this free book named Pattern Recognition and Machine learning, written by Bishop, which is about manipulating Gaussian Distributions, even in the multi n-dimensions field.
I am reading it, but everything is going straight over my head...
(I have some background in Linear Algebra, Calc 1 to 3, Statistics but everything seems so out of reach... and I don't even know where to begin in order to eventually understand the chapter)
Here is a small excerpt from Chapter 2.3 The Gaussian Distribution
"The Gaussian distribution has many important analytical properties, and we shall consider several of these in detail. As a result, this section will be rather more technically involved than some of the earlier sections, and will require familiarity with various matrix identities. However, we strongly encourage the reader to become proficient in manipulating Gaussian distributions using the techniques presented here as this will prove invaluable in understanding the more complex models presented in later chapters."
I would really appreciate if you could help, even better if you downloaded the free book and saw the chapter for yourself.
Sorry for the long comment your help and valuable advise is much appreciated!
Great video, thanks! Wondering what you think of Larsen's text :Mathematical Statistics? IMHO, also well written and thorough.
I recently found this book at a thrift store. What a coincidence!
What about for us getting into the beginning statistics course at a college level?
Sir, I'm a high school student and I wanted to know whether I can start learning statistics with this book or any other book, because I've already completed my statistics course of grade 11. But it's too much of a beginner's cup of tea. Advice me sir.
You could in theory jump into this! It would be tough but I think it's the logical next step. Knowing some calculus and proof writing helps, but you can always start:)
@@TheMathSorcerer really thanks for your advice sir, then I'll try to do calculus and basic proving books. Then I'll come to this. I truly appreciate that!
Would you say this is a good follow up to get hand on the statistics side of things after the first 5 chapters of Sheldon Ross “A first course in probability” ?
hey sorcerer i m a computer major student from india i wanna follow mstat program due to my interest in statistics is this book okay for beginners?
How are all these books you find in almost pristine condition? White pages that aren't bent, no underlinings.
I just took a very difficult one semester math stats course, it covered the equivalent of the first 10 chapters of this book.
Edit: we used a different, inferior book.
Please can you do a giveaway
Stop making these books I keep buying books because of you! The higher algebra book is very interesting it has a lot of topics that are not algebra though. It's sort of a catch-all advanced math book
cool