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6. Time Series with Pandas
6.1. DateTime Index
6.2. DateTime Index Part Two
6.3. Time Resampling
6.4. Time Shifting
6.5. Rolling and Expanding
6.6. Visualizing Time Series Data
6.7. Visualizing Time Series Data - Part Two
7. Time Series Analysis with Statsmodels
7.1. Introduction to Statsmodels Library
7.2. ETS Decomposition
7.3. EWMA Theory
7.4. EWMA Exponential Weighted Moving Average
7.5. Holt-Winters Method Theory
7.6. Holt-Winters Method Code - Part 1
7.7. Holt-Winters Method Code - Part 2
8. General Forecasting
8.1 Introduction to Forecasting Models Part 1
8.2 Evaluating Forecast Predictions
8.3 Introduction to Forecasting Models Part 2
8.4 ACF and PACF Theory
8.5 ACF and PACF Code Along
8.6 ARIMA Overview
8.7 Autoregression - AR - Overview
8.8 Autoregression - AR with Statmodels
8.9 Descriptive Statistics and Tests - Part 1
8.10 Descriptive Statistics and Tests - Part 2
8.11 Descriptive Statistics and Tests - Part 3
8.12 Arima Theory Overview
8.13 Choosing ARIMA Orders - Part 1
8.13 Choosing ARIMA Orders - Part 2
8.14 ARMA and ARIMA - AutoRegressive Integrated Moving Average - Part 1
8.14 ARMA and ARIMA - AutoRegressive Integrated Moving Average - Part 2
8.15. SARIMA - Seasonal Autoregressive Integrated Moving Average
8.16 SARIMAX - Seasonal Autoregressive Integrated Moving Average Exogenous - Part 1
8.17 SARIMAX - Seasonal Autoregressive Integrated Moving Average Exogenous - Part 2
$\chi^2$ Distribution
A New Way to Predict Probability Distributions by Harrison Hoffman Feb, 2023 Towards Data Science
Chi-Square and Standard Normal Theorem
Confidence Level
Construction of Manifold in R2
Correlation — When Pearson’s r Is Not Enough by Farzad Mahmoodinobar Feb, 2023 Towards Data Science
Decision Rule
Example - Differentiation of a Differential Form
Gamma, Exponential and Chi-Squared Distributions
Independent Random Variables
Indicator Function
Integration Of Differential Forms
Log-Normal Distribution
Multiplication Of 1-Forms
Normal Distribution
Notions of Distance
P-value
parametric probabilistic model
Poisson as the Limit of Binomial Distribution
Properties of Differentiation
README
Recall Hypothesis Test
References on Analysis
References on Differential Geometry
References on Numerical Analysis
References on Optimization
References on PDEs and Functional Analysis
References on Probability Theory
Rejection Region
Relationship Between Bernoulli and Binomial Distributions
Significance Level
Simple or Composite Hypothesis
Statistical Test
T Distribution
T Distribution Theorem
Test
Test Quality Function
Test Statistic
Type II Error
Type-I Error
Type-I Error Rate
Type-II Error Rate
Understanding Noisy Data and Uncertainty in Machine Learning by Harrison Hoffman Jan, 2023 Towards Data Science
Literature
17 Statistical Hypothesis Tests in Python (Cheat Sheet)
A Gentle Introduction to Statistical Hypothesis Testing
README
Permanent
Probability Distributions
Bernoulli Distribution
Beta Distribution
Binomial Distribution
Exponential Distribution
Gamma Distribution
Gaussian Distribution
Geometric Distribution
Pareto Distribution
Probability Distributions
1-form
Abstract Measure
Accumulation Point
Accumulation Points and Closed Sets
Akaike Information Criterion
Analysis of Variance Test (ANOVA)
Anderson-Darling Test
Atlas
Augmented Dickey-Fuller
Banach Space
Basis for Topology
Bayes' Theorem
Bayesian Information Criterion
Borel Sigma Algebra
Boundary of a Set
Bounded Set
Cauchy Sequence
Chain Rule
Chart and Coordinate Neighborhood
Chi-Squared Test
Closed and bounded sets are compact
Closed Set
Closed Set and Closure
Closed Subsets are Compact
Closure of a Set
Closure of a Set is Closed
Compact Set
Compact Subsets of a Hausdorff Space are Closed
Compact Topological Space
Compatability of Coordinates
Complete Metric Space
Conditional Probability
Connected Topological Space
Continous Differentiability
Continuity in terms of Preimage
Continuous Function
Contracting Mapping Theorem
Convergence of a Sequence in terms of a Metric
Convergence of a Sequence in terms of Open Sets
Convergent and Cauchy Sequences
Coordinate Neighborhood
Corollary Tangent Vectors are Derivations
Correlation of Random Variables
Cotangent Space
Countably Additive Function
Covariance of Random Variables
Covariance, Correlation and Independence
Covector Field
Cover
Curve
D’Agostino’s $K^2$ Test
Density
Derivation
Diffeomorphism
Differentiability and Partial Derivatives
Differentiable
Differentiable Manifold
Differential Forms
Differentiation Of Differental Forms
Directional Derivative
Dual Space
Entropy
Euclidean Product of Differentiable Manifolds
Euclidean Space
Euclidean Tangent Space
Existence of Isometric Spaces
Expected Value of a Random Variable
First Variation
Friedman Test
Functional
Functions and Mappings
Gaussian is the Limit of Binomial
Gaussian is the Limit of Poisson
Hausdorff Space
Hausdorff Topological Space
Hilbert Space
Homeomorphism
Image of an Open Set Under Continuous Function
Induced Topology of a Metric
Inner Product
Interior of a Set
Interior Point and Interior of a Set
Inverse Function Theorem
Isometric Spaces
Jacobian Matrix
Kendall’s Rank Correlation
Kruskal-Wallis H
Kwiatkowski-Phillips-Schmidt-Shin
Lebesgue Integral
Lebesgue Measure
Likelihood Function
Limit of a Sequence
Local Criterion for Openness
Local Minimum
Locally Euclidean
Lp Norm
Mann-Whitney U Test
Markov Chain Monte Carlo
Measurable Function
Measure
Measure Space
Metric
Metric Neighborhood
Metric Open Set
Metric Set Closure
Metric Space
Metric Spaces are Hausdorff
Metrical Continuous Function
Metrizable Topological Space
Moment Generating Function
Monte Carlo
N-form
Negative Binomial Distribution
Neighborhood
Norm
Open Ball
Open Balls and Open Sets
Open Balls Are Open Sets
Open Set
Open Set and Interior
Orientation
Paired Student’s T-test
Partial Derivative
Partition of Unity
Pearson’s Correlation Coefficient
Pointwise Continuity
Poisson Distribution
Preimage
Probability Density Function
Probability Distribution
Probability Mass Function
Probability Measure
Random Variable
Rank of a Matrix
Rank of a Vector-Valued Function
Rank Theorem
README
Relationship between metric and norm
Repeated Measures ANOVA Test
Sequence
Sequence lemma
Sequential Compactness
Set Closure
Shapiro-Wilk
Sigma Algebra
Spearman’s Rank Correlation
Statistical Tests
Student’s T-test
Tangent Space
Tangent Vectors as Derivations
The Relationship Between Topological and Measurable Spaces
Topological Continuous Function
Topological Cover
Topological Manifold
Topological Neighborhood
Topological Open Set
Topological Set Closure
Topological Space
Topological Space Induced by the Metric Space
Topology
Uniqueness of Coordinates
Uniqueness of the Limit
Variance and Standard Deviation of a Random Variable
Vector Field
Vector Fields as Derivations
Vector Space
Wilcoxon Signed-Rank Test
References
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A comprehensive introduction do differential geometry
A geometric approach to differential forms
A Short Introduction to Metric Spaces
An introduction to differentiable manifolds and riemannian geometry
An introduction to machine learning
An introduction to manifolds
An introduction to riemannian geometry
An introduction to statistical learning
Beginning function analysis
Book of Proof
Citation Needed
Introduction to algorithms for data mining and machine learning
Introduction to Graph Theory
Introduction to Mathematical Philosophy
Introduction to topology
Machine Learning Mastery
Measure Theory
Naive Set Theory
Number Theory
Partial Differential Equations in Action
Philosophy of Mathematics
Principles of econometrics
Probability and statistics
README
Real Analysis and Probability
Tao, T. -- An epsilon of room-pages from year three of a mathematical blog.pdf
The algorithm design manual
The data science design manual
The elements of statistical learning
The general linear model 20/21
The matrix cookbook
The Pleasures of Probability
Theories of Integration: the Integrals of Riemann, Lebesgue, Henstock-Kurzweil, and McShane, S. in Real Analysis
Time series analysis and its applications
Topology, Manifolds and Differential Geometry
Changelog
Complete Space
countable basis
MOC - Functional Analysis
MOC - Topology
Probability Theory
README
Statistics
The Statistical Tests Table
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Apr 23, 2024
1 min read
Probabilistic machine learning: An introduction
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