Re: suggestion for books

Disclaimer: I'm no expert statistician but that rarely shuts me up.

I note that no-one better qualified has answered your questions, so
I'll have a go. You ask what the "difference" is between maths and
stats. The definition of "statistics" in wordNet is:

"a branch of applied mathematics concerned with the collection and
interpretation of quantitative data and the use of probability theory
to estimate population parameters". Hence by that definition which may
not be the best one, stats is "part" of maths.

I've had a book recommended to me _Introduction to Probability Theory_
by Hoel/Port/Stone, which I'm reading at present. It seems to me (note
disclaimer) that this book explains very well the very basics of
probability from which the familiar distributions such as binomial etc.
are built. There is a followup text _Introduction to Statistical
Theory_ which I haven't seen yet, but plan to read cover to cover after
the prob theory book. These books were published in the 70s, but are
still available in the UK, and probably elsewhere.

That's assuming that you want to know more about the mathematical
foundations of stats. I don't understand exactly what you mean by the
"scope" of statistics, but this answer is my best shot.

Cheers,

Ross-c

.

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