Series

Industrial Engineering & Operations Research

Algebra
- Cheatsheet
Linear Algebra
Real Analysis
- Sets
Calculus
- Calculus I
- Calculus II
- Calculus III
  - Vector-Valued Functions
- Integration
  - Rules
- Differential Equations
Geometry
- Cheatsheet
Probability Theory
Statistics
- Cheatsheet
- Descriptive Statistics
  - Mean
  - Median
  - Mode
  - Range
  - Variance
  - Standard Deviation
  - Interquartile Range
- Probability Distributions
  - Bernoulli
  - Gaussian
  - Student's t
  - Binomial
  - Poisson
  - Exponential
- Functions
  - PDF
  - PMF
  - CDF
  - PPF
  - SF
  - Standard Normal Loss Function
  - Likelihood
- Error Metrics
  - MD
  - MAE
  - MSE
  - RMSE
  - MPE
  - MAPE
  - R²
  - MSLE
  - Cross-Entropy Loss
- Hypothesis Testing
- Regression Analysis
- Correlation
  - Pearson
  - Spearman Rank
- Non-Parametric Statistics
- Maximum Likelihood Estimation
- Generalized Linear Models
- Cross Validation
- Markov Chains
- Monte Carlo Simulation
- Design of Experiments
Time Series
- Moving Averages
- Decomposition
  - Classical
  - STL
- Frequency
  - Fourier
  - Periodogram
- Exponential Smoothing (ETS)
  - Summary
  - A-N-N
  - A-N-A
  - A-N-M
  - A-A-N
  - A-A-A
  - A-A-M
  - A-Ad-N
  - A-Ad-A
  - A-Ad-M
  - A-M-N
  - A-M-A
  - A-M-M
  - A-Md-N
  - A-Md-A
  - A-Md-M
  - M-N-N
  - M-N-A
  - M-N-M
  - M-A-N
  - M-A-A
  - M-A-M
  - M-Ad-N
  - M-Ad-A
  - M-Ad-M
  - M-M-N
  - M-M-A
  - M-M-M
  - M-Md-N
  - M-Md-A
  - M-Md-M
- ARIMA Family
  - Summary
  - AR
  - MA
  - ARMA
  - ARIMA
  - SARIMA
  - SARIMAX
  - VAR
  - VMA
  - VARMA
  - VARIMA
  - VARIMAX
System Dynamics
Operations Research
- Optimization
- Queuing Theory
- Decision Analysis
- Control Charts
  - Cheatsheet
  - C-Chart
  - P-Chart
  - U-Chart
  - NP-Chart
  - X-Chart
- Process Capability
  - Cheatsheet
  - Cp
  - Cpk
  - Cpm
  - Pp
  - Ppk
- Causes of Variation
  - Common
  - Special
Supply Chain
- Planning
  - Aggregate Planning
  - MPS
  - MRP
  - DRP
  - RCCP
  - Silver-Meal
  - Least Unit Cost
  - Part-Period Balancing
- Manufacturing
- Bullwhip Effect
- Classification
  - ABC
  - XYZ
  - ABC × XYZ
  - FSN
  - VED
- Metrics
- Service Levels
- Stocks
- Newsvendor
- Multi-Echelon
- Risk Pooling
- EOQ
- Policies
  - Overview
  - Base Stock
  - (s, S)
  - (Q, r)
  - (nQ, r)
  - (R, S)
  - (R, s, S)
  - (R, nQ, s)
Graph Theory
- Overview
Machine Learning
- Bias–Variance Tradeoff
- Classification
  - Support Vector Machine
  - XGBoost
- Graphs
  - Graph Neural Network
Economics
Algorithms
- Dijkstra
Organisations
Certifications
- CSCP
- Supply Chain Analytics
- ACCA F3 — Financial Accounting
Appendix
- Scheduling Code
White Paper
References

115. Series

Given the series , then

We form a sequence associated with the series, the sequence of its partial sums:

Example

115.0.1. Alternating

Example

115.0.2. Non-Convergent

Example

← Arc Length Taylor Series →