I. Probability: 1: Sets and events : 2: Probabilities and counting rules : 3: Conditional probability and independence : II. Topic 1. Bowley has defined statistics as: (i) statistics is the science of counting, (ii) Statistics may rightly be called the science of averages, and (iii) statistics is the science of measurement of social organism regarded as a whole in all its mani- 3 0000004897 00000 n <<38DC9F24CEFB224E889C48273A9F05BA>]>> 0000012172 00000 n Untitled Document. 1. Statistics is a branch of mathematics used to summarize, analyze, and interpret a group of numbers or observations. 0000009716 00000 n Syllabus File. Introduction. For Probability Theory the space is called the sample space. 0000004220 00000 n A.L. Elements of Statistics Lecture Notes # 4 Today • More on decision rules and the relationship between the decision rule and the significance level. Access study documents, get answers to your study questions, and connect with real tutors for ECON 279 : Elements of Statistics at Baldwin Wallace University. Instructor: Ceylan YOZGATLIGİL. 1901 37 0000011691 00000 n %PDF-1.4 Random variables and distribution functions: 4: Bayes theorem and random variables : 5: Discrete and continuous random variables : 6 Maximum likelihood estimation, Method of moments. Topic 1. /Length 2505 Cutoff value/critical value.

This work is in the public domain. Bazuin, Spring 2020 1 of 34 ECE 3800 Charles Boncelet, “Probability, Statistics, and Random Signals," Oxford University Press, 2016. 0000009234 00000 n The author makes no guarantees that these notes are free of typos or other, more serious errors. Notes 3. The course code of Elements of Statistics is BCA-S205. 3 0 obj <<

Populations are defined by what a researcher is studying and can come in all shapes and sizes. 0000000016 00000 n ��m�� Rejection region. startxref Statistics may rightly be called the science of averages, and (iii) statistics is the science of measurement of social organism regarded as a whole in all its mani-3 festations. BCA-S205 Units. It is an intensive two-day experience in which you get to interact with us and the other participants. Lecture notes files. Moment generating functions, Statistical Distributions: Discrete distributions and their properties, Continuous distributions and their properties. xڭko�����P

>> Random Variables, Expectation, Transformation (3 weeks) Random variables, probability mass … A set is defined as any collection of objects, which are called points or elements. �|�C���Z1����&��%��'L ��X�@�1,��ʂ`"N�76sTc� SLDMIII is based on "Elements of Statistical Learning", which is a more advanced book than "An Introduction to Statistical Learning". 0000005558 00000 n Lectures will explain the theoretical origins and practical implications of statistical formulae. 0000002626 00000 n Chapter 1. We begin by introducing two general types of statistics: •• Descriptive statistics: statistics that summarize observations. 0000008183 00000 n Frequency plot. The course roughly follows the text by Hogg, McKean, and Craig, Introduction to Mathematical Statistics, 7th edition, 2012, henceforth referred to as HMC. ELEMENTS OF PROBABILITY AND STATISTICS.

Statistics: Lecture Notes. The biggest possible collection of points under consideration is called the space, universe,oruniversal set. 0000030217 00000 n �6�K.͇��\�;$M�3P�I>���bN"}$e���3�]r%�=�1;3;�Y_�\|��2%E!���f��EfrQ�jqS�]��~���8RR���2�%�{�w5�6w���L�+�����7����������*q�"!e2��t�R�0IA�����6�XE`��xf�v�_�9��Z��3�������P��P�`�á��"������y�'�$Q찄"X�Ԉ,3 +�Y@s��3-\0�*�_.a��g/��\���?��Qn�"��������Ͽ�Eu!�.���|�c)TQ,��i�������?FL+�j5�FU�$�`�4Y��m���H��\ȍ$�|�"ǡem�n��Œ�*�^�@ެ � o �agS:bi�+��Q鋙��F�ɬ"�$i>Ir^����h�ګ��яm?0(��etv�c��K�F���O�>-0��~EWEj0�r7���7�ɀB�\v�8&i�mBs�n �,D��f��"�ߵ�)���n}ؕ#_H��T��R�2u�H��ScL�T3h�Z� M2���ܖ��_����L�X�|F��bX���@+m��Q�X��C�hN�M�D���u`��G��B�g�(WA���x��1�QJ�L9�e��J!��YW D��H��!���_)�E^r� 2nd Edition. xref

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0000006866 00000 n SES # TOPICS; Probability distributions and random variables. • Plot. This course contains the most basic tools for a good initiation to statistical methods in Applied Mathematics.All the course materials presented are licensed with Creative Commons Attribution-NonCommercial-ShareAlike License. 0000007473 00000 n %%EOF 0000010721 00000 n

•• Inferential statistics: statistics used to interpret the meaning of descriptive statistics. 0000003721 00000 n AsetAis called a … 0000024540 00000 n Reproducing examples from the "The Elements of Statistical Learning" by Trevor Hastie, Robert Tibshirani and Jerome Friedman with Python and its popular libraries: numpy, math, scipy, sklearn, pandas, tensorflow, statsmodels, sympy, catboost, pyearth, mlxtend, cvxpy.Almost all plotting is done using matplotlib, sometimes using seaborn.

/Length 3208 Sampling Lab designed to expose the student to each of the five types of sampling

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This course provides a comprehensive introduction to probability, statistical theory and methodology. Topic 2. /Filter /FlateDecode Topic 2. "Statistics is the branch of scientific method which deals with the data obtained by counting or measuring the properties of populations of natural phenomena. 0000005444 00000 n /Filter /FlateDecode Testing hypotheses: concepts of hypothesis testing, Neyman-Pearson lemma, Likelihood ratio test, Confidence intervals The goal of this course is to introduce students to the basic probability theory and mathematical statistics and help them in establishing a good theoretical background for their future professions. 0000012097 00000 n Probability Axioms, Combinatorics. 1 How to form a decision rule