000 a
999 _c33736
_d33736
008 250225b xxu||||| |||| 00| 0 eng d
020 _a9783030395605
082 _a519.5
_bGIL
100 _aGillard, Jonathan
245 _aA first course in statistical inference
260 _bSpringer,
_c2020
_aCham :
300 _ax, 164 p. ;
_bill., (some col.),
_c24 cm
365 _b39.99
_c
_d93.20
490 _aSpringer undergraduate mathematics series
504 _aIncludes index.
520 _aThis book offers a modern and accessible introduction to Statistical Inference, the science of inferring key information from data. Aimed at beginning undergraduate students in mathematics, it presents the concepts underpinning frequentist statistical theory. Written in a conversational and informal style, this concise text concentrates on ideas and concepts, with key theorems stated and proved. Detailed worked examples are included and each chapter ends with a set of exercises, with full solutions given at the back of the book. Examples using R are provided throughout the book, with a brief guide to the software included. Topics covered in the book include: sampling distributions, properties of estimators, confidence intervals, hypothesis testing, ANOVA, and fitting a straight line to paired data. Based on the author’s extensive teaching experience, the material of the book has been honed by student feedback for over a decade. Assuming only some familiarity with elementary probability, this textbook has been devised for a one semester first course in statistics.
650 _aAcceptance region
650 _aCentral Limit Theorem
650 _aChi-squared distribution
650 _aCumulative distribution function
650 _aDiscrete random variable
650 _aNull hypothesis
650 _ap-value
650 _aPoisson distribution
650 _aProbability density function
650 _aProbability mass function
650 _aRandomsample
650 _aSignificance level
650 _aStudent's t-distribution
942 _2ddc
_cBK