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M04 Estimation of Reliability Metrics
S6 Functions and Distributions
CRE Live Preparation Course
Session 6 – Functions and Distributions
Embedded recording of the session
Resources & Links
Contact me anytime with questions or concerns.
Fred Schenkelberg
fms@accendoreliability.com
(408) 710-8248 or via Skype (I’m fmsrel or you can find me by my name, I think)
**Please arrange a time for a call or Skype to make sure I’m available and expect your call.
Additional Reading/Listening
A slew of tutorials on distributions
Expectation and Moment Generating Functions
Hazard to Reliability Functions
How to Calculate Reliability Given 3 Different Distributions
S5 Statistical Concepts
S4 Risk Management Continued
S3 Risk Management
The CRE Recommended References Survey
The 2020 CRE Recommended References Survey
Welcome to the 2020 CRE Preparation Recommended References survey.
The idea is to refresh the list of the most useful references for those preparing and taking the ASQ CRE exam.
The recommendations may also make great desktop references for your daily use.
Please, take just a couple of minutes to complete this survey with your recommendations.
S2 Reliability Foundations
S1 Logistics & Leadership Foundations
02 Probability Plots & Minitab Demonstration
Module 3 Assessing & Selecting Models for Time-to-Failure Data
Lesson M03-02
Text: Section 5
Duration: 17 minutes
- Reliability Analysis Methods
- M01 Reliability Concepts & Data
- 01 Why Reliability & Typical Questions
- 02 Defining Reliability
- 03 Type of Reliability Data & Unique Aspects
- 04 Censored Data
- 05 The Bathtub Curve & Reliability Function
- M02 Probability & Reliability Statistics
- 01 Probability Basics
- 02 Conditional Probability, Independent Events, & Exercise
- 03 Reliability Metrics & Statistics
- 04 Common Distributions & Weibull Distribution
- 05 Conditional Reliability & Exercise
- 06 Review Exercises
- 07 Useful Discrete Distributions & Exercise
- M03 Assessing & Selecting Models for Time-to-Failure Data
- 01 Overview of Distribution Fitting & Reliability
- 02 Probability Plots & Minitab Demonstration
- 03 Constructing Probability Plots
- 04 Distribution Fitting with Right-Censored Data
- 05 Exercises
- 06 Distribution Fitting with Multiple Failure Modes
- 07 Exercise and Module Wrap-up
- M04 Estimation of Reliability Metrics
- 01 Overview of Reliability Estimation & Methods
- 02 Confidence Intervals & Bounds
- 03 Using Minitab to Estimate Reliability Metrics (Demo)
- 04 Exercise
- 05 Reliability Estimation with Censored Data
- 06 Comparing Multiple Groups
- 07 Exercises
- 08 Handling Multiple Failure Modes & Exercise
- 09 Non-Parametric Estimation
- 10 Other Methods for Reliability Prediction
- M05 Introduction to System Reliability
- 01 System Reliability Overview & Basic Series Systems
- 02 Basic Parallel Systems & Short Exercise
- 03 k-out-of-n Parallel Systems & Combination Systems
- 04 Exercises
- 05 Complex Systems
- 06 Reliability Importance, Reliability Allocation, & other Concepts
- M06 Reliability Test Planning
- 01 Reliability Testing Ideas
- 02 Reliability Test Planning & Censoring Schemes
- 03 Reliability Estimation Test Planning
- 04 Exercises
- 05 Reliability Demonstration Test Planning
- 06 Exercise
- 07 Zero Failure Test Plans Special Case & Module Wrap-up
- M07 Analysis of Warranty Data
- 01 Warranty Analysis Overview & Key Concepts
- 02 Data Setup & Calculations
- 03 Minitab Demonstration
- 04 Exercise
- M08 Design for Reliability (DFR)
- 01 Design for Reliability (DFR) Overview
- 02 DFR Process & Methodology Overview
- M09 Introduction to Advanced Topics
- 01 Types of Accelerated Life Testing (ALT)
- 02 Introduction to Quantitative ALT
- 03 Introduction to Repairable System Analysis
- 04 Stress-Strength Analysis
Next, we illustrate the use of Minitab software for constructing and interpreting probability plots.
Example dataset
19 Air Pumps tested to failure
106, 276, 316, 502, 525, 561, 602, 631, 677, 737, 957, 996, 1035, 1203, 1425, 1659, 1779, 1403, 2646
- Reliability Analysis Methods
- M01 Reliability Concepts & Data
- 01 Why Reliability & Typical Questions
- 02 Defining Reliability
- 03 Type of Reliability Data & Unique Aspects
- 04 Censored Data
- 05 The Bathtub Curve & Reliability Function
- M02 Probability & Reliability Statistics
- 01 Probability Basics
- 02 Conditional Probability, Independent Events, & Exercise
- 03 Reliability Metrics & Statistics
- 04 Common Distributions & Weibull Distribution
- 05 Conditional Reliability & Exercise
- 06 Review Exercises
- 07 Useful Discrete Distributions & Exercise
- M03 Assessing & Selecting Models for Time-to-Failure Data
- 01 Overview of Distribution Fitting & Reliability
- 02 Probability Plots & Minitab Demonstration
- 03 Constructing Probability Plots
- 04 Distribution Fitting with Right-Censored Data
- 05 Exercises
- 06 Distribution Fitting with Multiple Failure Modes
- 07 Exercise and Module Wrap-up
- M04 Estimation of Reliability Metrics
- 01 Overview of Reliability Estimation & Methods
- 02 Confidence Intervals & Bounds
- 03 Using Minitab to Estimate Reliability Metrics (Demo)
- 04 Exercise
- 05 Reliability Estimation with Censored Data
- 06 Comparing Multiple Groups
- 07 Exercises
- 08 Handling Multiple Failure Modes & Exercise
- 09 Non-Parametric Estimation
- 10 Other Methods for Reliability Prediction
- M05 Introduction to System Reliability
- 01 System Reliability Overview & Basic Series Systems
- 02 Basic Parallel Systems & Short Exercise
- 03 k-out-of-n Parallel Systems & Combination Systems
- 04 Exercises
- 05 Complex Systems
- 06 Reliability Importance, Reliability Allocation, & other Concepts
- M06 Reliability Test Planning
- 01 Reliability Testing Ideas
- 02 Reliability Test Planning & Censoring Schemes
- 03 Reliability Estimation Test Planning
- 04 Exercises
- 05 Reliability Demonstration Test Planning
- 06 Exercise
- 07 Zero Failure Test Plans Special Case & Module Wrap-up
- M07 Analysis of Warranty Data
- 01 Warranty Analysis Overview & Key Concepts
- 02 Data Setup & Calculations
- 03 Minitab Demonstration
- 04 Exercise
- M08 Design for Reliability (DFR)
- 01 Design for Reliability (DFR) Overview
- 02 DFR Process & Methodology Overview
- M09 Introduction to Advanced Topics
- 01 Types of Accelerated Life Testing (ALT)
- 02 Introduction to Quantitative ALT
- 03 Introduction to Repairable System Analysis
- 04 Stress-Strength Analysis