PROBABILITY & STATISTICS (DEVORE) • Part II • Olasılık ve İstatistik
Her mühendisliğin temelinde var olan Olasılık ve İstatistik konularının uygulamalarını gördüğümüz bu derste: 1) Probability 2) Discrete Random Variables 3) Discrete Probability Distributions 4) Continuous Random Variables 5) Continuous Probability Distributions 6) Joint Probability Distributions konularını inceliyoruz.
Sınava yönelik sorular ile konuların en kritik soru tiplerini kolaydan zora çözüp sınavda sürprize yer bırakmıyoruz!
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Eğitmenler
İhsan Altundağ
Eğitmen
2007 yılında Galatasaray Üniversitesi Bilgisayar Mühendisliği bölümünden birincilikle mezun olduktan sonra Fransa'da Kriptoloji üzerine Fransa hükümeti tarafından verilen bursla yüksek lisans yaptım. Devamında ikinci kez sınava girerek Boğaziçi Matematik bölümünü de bitirdim. Yaklaşık 15 yıldır üniversite öğrencilerine dersler vermekteyim.
Ömer Faruk Altun
Co-founder & Head of Education
2011 yılında Endüstri Mühendisliği okumak için başladığım Sabancı Üniversitesi'nden 2018 yılında Bilgisayar Mühendisi olarak mezun oldum. 13 yıldır Altun ismiyle başta Sabancı Üniversitesi olmak üzere çeşitli okullarda Endüstri ve Bilgisayar Mühendisliği alanlarında ders vermekteyim. Unicourse'ta sunduğum derslerin yanında eğitim departmanının da sorumluluğunu üstlenmekteyim.
Konular
Descriptive Statistics
17 konu anlatımı
Introduction
Frequency Distribution
Example 1
Relative Frequency Distribution
Example 2
Cumulative Frequency Distribution
Example 3
Frequency Histogram
Measures of Central Tendancy
Example 4
Measures of Dispersion
Example 5
Skewness and Kurtosis
Stem and Leaf Diagram
Example 6
Box and Whisker Plot
Example 7
Reading Statistical Tables
4 konu anlatımı
Z Table
T Table
Chi Square Table
F Table
Point Estimation of Parameters and Sampling Distributions
17 konu anlatımı
Sample Mean
Sample Variance
Central Limit Theorem
Z Distribution
Chi Square Distribution
T Distribution
F Distribution
Point Estimation
Unbiased Estimators
Example 1
Variance of an Estimator
Method of Moments
Example 2
Example 3
Method of Maximum Likelihood
Example 4
Example 5
Statistical Intervals of a Single Sample
8 konu anlatımı
Interval Estimation
Table Values
Confidence Interval on Mean when Sigma is Known
Confidence Interval on Mean when Sigma is Unknown
Confidence Interval on Variance and Std. Deviation
Confidence Interval for a Proportion
Prediction Interval for a Future Observation
Tolerance Interval for a Normal Population
Tests of Hypotheses for a Single Sample
7 konu anlatımı
Hypothesis Testing
General Procedure
Hypotheses Tests on the Mean
Hypotheses Tests on Proportion
Hypotheses Tests on Variance and Standard Deviation
Goodness of Fit Test
Categorical Data
Statistical Inference for Two Samples
8 konu anlatımı
Confidence Interval on Difference Between Means when Sigma is Known
Confidence Interval on Difference Between Means when Sigma is Unknown
Hypotheses Tests on Difference of Two Means
Paired T-test
Confidence Interval on Difference Between Proportions
Hypotheses Tests on Difference of Two Proportions
Confidence Interval on the Ratio of Two Variances
Hypotheses Tests for Ratio of Two Variances
Simple Linear Regression and Correlation
12 konu anlatımı
Regression Equations
Simple Linear Regression
Example 1
Example 2
Coefficient of Determination
Properties of Least Squares Estimators
Example 3
Partition of Total Variability and Estimation of Sigma
Slope Paremeter
Test for Slope Parameter
Confidence Interval for Slope Parameter
Example 2
Multiple Linear Regression
9 konu anlatımı
Introduction
Example 1
Errors in Multiple Linear Regression
Coefficients in Multiple Linear Regression
Tests for Significance of Regression
Tests for Individual Regression Coefficient
Coefficient of Determination
Example 2
Example 3
Bayesian Inference
18 konu anlatımı
Introduction
Recognizing Special Distributions
Example 1
Example 2
Example 3
Example 4
Maximum a Posteriori (MAP) Estimate
Example 5
Example 6
Least Mean Square (LMS) Estimation Without Observation
Example 7
Example 8
Least Mean Square (LMS) Estimation With Observation
Example 9
Example 10
Example 11
LLMS Estimation
Example 12
Sample Exam Problems
45 soru
Descriptive Statistics 1
Descriptive Statistics 2
Descriptive Statistics 3
Point Estimation of Parameters and Sampling Distributions 1
Point Estimation of Parameters and Sampling Distributions 2
Point Estimation of Parameters and Sampling Distributions 3
Point Estimation of Parameters and Sampling Distributions 4
Point Estimation of Parameters and Sampling Distributions 5
Point Estimation of Parameters and Sampling Distributions 6
Point Estimation of Parameters and Sampling Distributions 7
Point Estimation of Parameters and Sampling Distributions 8
Point Estimation of Parameters and Sampling Distributions 9
Point Estimation of Parameters and Sampling Distributions 10
Statistical Intervals of a Single Sample 1
Statistical Intervals of a Single Sample 2
Statistical Intervals of a Single Sample 3
Statistical Intervals of a Single Sample 4
Statistical Intervals of a Single Sample 5
Statistical Intervals of a Single Sample 6
Statistical Intervals of a Single Sample 7
Statistical Intervals of a Single Sample 8
Statistical Intervals of a Single Sample 9
Statistical Intervals of a Single Sample 10
Tests of Hypotheses for a Single Sample 1
Tests of Hypotheses for a Single Sample 2
Tests of Hypotheses for a Single Sample 3
Tests of Hypotheses for a Single Sample 4
Tests of Hypotheses for a Single Sample 5
Tests of Hypotheses for a Single Sample 6
Tests of Hypotheses for a Single Sample 7
Statistical Intervals of Two Samples 1
Statistical Intervals of Two Samples 2
Statistical Intervals of Two Samples 3
Statistical Intervals of Two Samples 4
Tests of Hypotheses for Two Samples 1
Tests of Hypothesis for Two Samples 2
Tests of Hypothesis for Two Samples 3
Tests of Hypothesis for Two Samples 4
Tests of Hypothesis for Two Samples 5
Contingency Table Test
Goodness of Fit Test
Simple Linear Regression 1
Simple Linear Regression 2
Multiple Linear Regression 1
Multiple Linear Regression 2
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