- Part 1. Introduction to MM4XL
- Part 2. MM4XL Tools
- 1. Strategic Tools
- BCG Matrix
- Brand Mapping
- Brand Switch
- Decision Tree
- Forecast Manager
- McKinsey Matrix
- Profile Manager
- Quality Manager
- Risk Analyst
- Risk Analyst Expert in a Few Minutes
- Introduction to Decision Analysis
- Introducing Risk Analyst with an example
- 1. How to run Risk Analyst
- 2. Simulation Never heard of it
- 3. Examples
- 4. Functions
- 1. Property Functions
- 2. Utility Functions
- 3. Distribution Functions
- mmBETA (Scale, Shape)
- mmBETAGEN (Scale, Shape, [Optional: Lower], [Optional: Upper])
- mmBINOMIAL (Trials, Successes)
- mmCHI2 (Degrees)
- mmDISCRETE (InputRange, Probabilities)
- mmERF (Mean)
- mmERLANG (Scale, Shape)
- mmEXPON (Mean)
- mmEXTVAL (ModalValue, StDeviation)
- mmGAMMA (Scale, Shape)
- mmGAUSSINV (Mean, Scale)
- mmGEO (Trials)
- mmHYPERGEO (Sample, Defects, BatchSize)
- mmINTUNI (Lower, Upper)
- mmLOGISTIC (Mean, StDeviation)
- mmLOGNORMAL (Mean, StDeviation)
- mmNEGBIN (Failures, Successes)
- mmNORMAL (Mean, StDeviation)
- mmPARETO (Location, ModalValue)
- mmPARETO2 (Location, ModalValue)
- mmPERT (Lower, ModalValue, Upper)
- mmPOISSON (Mean)
- mmRANDBETWEEN (Lower, Upper)
- mmRAYLEIGH (ModalValue)
- mmSTUDENT (Degrees)
- mmTRI (Lower, ModalValue, Upper)
- mmUNIFORM (Lower, Upper)
- mmWEIBULL (Life, Shape)
- Probability functions
- Technicalities
- Sources
- 2. Analytical Tools
- Business Formulas
- mmBASS, Bass Diffusion Model
- mmBEI, Brand Equity Index
- mmBEP, Break-Even Point
- mmBEPR, Break-Even Point with Fixed Rate of Return
- mmBUYRATE, Purchase Rate Model
- mmCAGR, Compound Annual Growth
- mmCHIp, Chi Squared Test
- mmCODING, Coding of variables
- 1. Customer Satisfaction
- 2. Database Functions
- mmDHMS, Number to Time
- mmEI, Evolution Index
- mmEXPECT, Expected values
- 3. Forecast Errors
- mmGROWTH
- mmGROWTHBACK
- mmGRP, Gross Rating Points
- mmHERF, Herfindahl Index
- mmINTERPOLE, Linear Interpolation
- mmLEARN, Learning Curve
- mmMSAR, Market Share to Advertising Ratio
- 4. Opportunity Index
- 5. Performance Ranking
- 6. Project Management
- mmPREMIUM, Price Premium
- mmPRESS, Product Performance Index
- 7. Price Indexes
- 8. Queuing Theory
- mmRANGE
- mmREBUY, Repeat Purchase Rate
- mmREBUYS, Estimated Number of Re-Purchases
- mmRELATIVE
- mmSAMPLE, Sample Size
- mmSAMPLEMIN, Minimum Sample for Significant Values
- mmSEASON, Seasonality Indexes
- mmSHARE
- mmSIGNIF, Significance Test
- mmVARc, Coefficient of Variation
- Cluster Analysis
- CrossTab
- Descriptive Analyst
- Gravitation Analysis
- Proportion Analyst
- Sample Manager
- Segmentation Tree
- Variation Analyst
- 3. Charts and Maps
- mytest
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- Part 1. Introduction to MM4XL
- Part 2. MM4XL Tools
- 1. Strategic Tools
- BCG Matrix
- Brand Mapping
- Brand Switch
- Decision Tree
- Forecast Manager
- McKinsey Matrix
- Profile Manager
- Quality Manager
- Risk Analyst
- 1. How to run Risk Analyst
- 2. Simulation Never heard of it
- 3. Examples
- 4. Functions
- 1. Property Functions
- 2. Utility Functions
- 3. Distribution Functions
- mmBETA (Scale, Shape)
- mmBETAGEN (Scale, Shape, [Optional: Lower], [Optional: Upper])
- mmBINOMIAL (Trials, Successes)
- mmCHI2 (Degrees)
- mmDISCRETE (InputRange, Probabilities)
- mmERF (Mean)
- mmERLANG (Scale, Shape)
- mmEXPON (Mean)
- mmEXTVAL (ModalValue, StDeviation)
- mmGAMMA (Scale, Shape)
- mmGAUSSINV (Mean, Scale)
- mmGEO (Trials)
- mmHYPERGEO (Sample, Defects, BatchSize)
- mmINTUNI (Lower, Upper)
- mmLOGISTIC (Mean, StDeviation)
- mmLOGNORMAL (Mean, StDeviation)
- mmNEGBIN (Failures, Successes)
- mmNORMAL (Mean, StDeviation)
- mmPARETO (Location, ModalValue)
- mmPARETO2 (Location, ModalValue)
- mmPERT (Lower, ModalValue, Upper)
- mmPOISSON (Mean)
- mmRANDBETWEEN (Lower, Upper)
- mmRAYLEIGH (ModalValue)
- mmSTUDENT (Degrees)
- mmTRI (Lower, ModalValue, Upper)
- mmUNIFORM (Lower, Upper)
- mmWEIBULL (Life, Shape)
- Probability functions
- Risk Analyst Expert in a Few Minutes
- Introduction to Decision Analysis
- Introducing Risk Analyst with an example
- Technicalities
- Sources
- 2. Analytical Tools
- Business Formulas
- 1. Customer Satisfaction
- 2. Database Functions
- 3. Forecast Errors
- 4. Opportunity Index
- 5. Performance Ranking
- 6. Project Management
- 7. Price Indexes
- 8. Queuing Theory
- mmBASS, Bass Diffusion Model
- mmBEI, Brand Equity Index
- mmBEP, Break-Even Point
- mmBEPR, Break-Even Point with Fixed Rate of Return
- mmBUYRATE, Purchase Rate Model
- mmCAGR, Compound Annual Growth
- mmCHIp, Chi Squared Test
- mmCODING, Coding of variables
- mmDHMS, Number to Time
- mmEI, Evolution Index
- mmEXPECT, Expected values
- mmGROWTH
- mmGROWTHBACK
- mmGRP, Gross Rating Points
- mmHERF, Herfindahl Index
- mmINTERPOLE, Linear Interpolation
- mmLEARN, Learning Curve
- mmMSAR, Market Share to Advertising Ratio
- mmPREMIUM, Price Premium
- mmPRESS, Product Performance Index
- mmRANGE
- mmREBUY, Repeat Purchase Rate
- mmREBUYS, Estimated Number of Re-Purchases
- mmRELATIVE
- mmSAMPLE, Sample Size
- mmSAMPLEMIN, Minimum Sample for Significant Values
- mmSEASON, Seasonality Indexes
- mmSHARE
- mmSIGNIF, Significance Test
- mmVARc, Coefficient of Variation
- Cluster Analysis
- CrossTab
- Descriptive Analyst
- Gravitation Analysis
- Proportion Analyst
- Sample Manager
- Segmentation Tree
- Variation Analyst
- 3. Charts and Maps
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Part 2. MM4XL Tools > 1. Strategic Tools > Risk Analyst > 4. Functions > 3. Distribution Functions > mmPARETO(Location, ModalValue)
Risk Analyst mmPARETO(Location, ModalValue) Example
=mmPARETO(2, 1) can equal 6.156197548.
Application This distribution was developed to describe the spread of income, with a high proportion of a population having low income and only a few people with very high income. mmPARETO can be used to model insurance claims, the occurrence of extreme weather, and more. How to use This function returns a normally distributed value around the mean. This helps, for instance, to model the growth of a given market for successive years. Say that we are looking into the profitability of a new product launch and we need to estimate the market size for 5 consecutive years. The value of the market at year zero is estimated in 1 million and will grow at a rate of around 5% a year. The formula below helps to model this case:
=mmPARETO(0.2, 1)
Copy the formula above in 100 cells. You will find that it produces values with the Mode, or most frequent value, equal to 1 as required in our formula, and 50% of the simulated values are smaller than 32 seconds spent with us. The extreme value we obtained with the formula above was 631.7 seconds. Technical profile | Type | Continuous distribution. | | Syntax | ==mmPARETO(Location, ModalValue) | | Domain | Location < RndNum < Infinity | | Mode | ModalValue. | | Parameters | 0
ModalValue = c > 0 | | Remarks | If any argument is nonnumeric mmPARETO returns the #VALUE! error value. | | Relationships | It is related to the Exponential variate with parameter b = 1/c.
It is related to the Gamma and Chi2 variate. | | Graphs | mmPARETO(2, 1) mmPARETO(20, 1)
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