# Implementing BTYD Models with the Log Sum Exp Patch

## Documentation for package ‘BTYD’ version 2.4.3

- DESCRIPTION file.
- User guides, package vignettes and other documentation.
- Code demos. Use demo() to run them.
- Package NEWS.

## Help Pages

A B C D H P S

BTYD-package | This project was funded and sponsored by Wharton Customer Analytics.

## -- A --

addLogs | Add Logs

## -- B --

bgbb.ConditionalExpectedTransactions | BG/BB Conditional Expected Transactions
bgbb.DERT | BG/BB Discounted Expected Residual Transactions
bgbb.EstimateParameters | BG/BB Parameter estimation
bgbb.Expectation | BG/BB Expectation
bgbb.HeatmapHoldoutExpectedTrans | BG/BB Heatmap of Holdout Period Expected Transactions
bgbb.LL | BG/BB Log-Likelihood
bgbb.PAlive | BG/BB P(Alive)
bgbb.PlotDropoutRateHeterogeneity | BG/BB Plot Dropout Rate Heterogeneity
bgbb.PlotFrequencyInCalibration | BG/BB Plot Frequency in Calibration Period
bgbb.PlotFrequencyInHoldout | BG/BB Plot Frequency in Holdout
bgbb.PlotFreqVsConditionalExpectedFrequency | BG/BB Plot Frequency vs Conditional Expected Frequency
bgbb.PlotRecVsConditionalExpectedFrequency | BG/BB Plot Recency vs Conditional Expected Frequency
bgbb.PlotTrackingCum | BG/BB Tracking Cumulative Transactions Plot
bgbb.PlotTrackingInc | BG/BB Tracking Incremental Transactions Plot
bgbb.PlotTransactionRateHeterogeneity | BG/BB Plot Transaction Rate Heterogeneity
bgbb.pmf | BG/BB Probability Mass Function
bgbb.pmf.General | BG/BB General Probability Mass Function
bgbb.PosteriorMeanDropoutRate | BG/BB Posterior Mean Dropout Rate
bgbb.PosteriorMeanLmProductMoment | BG/BB Posterior Mean (l,m)th Product Moment
bgbb.PosteriorMeanTransactionRate | BG/BB Posterior Mean Transaction Rate
bgbb.rf.matrix.DERT | BG/BB Discounted Expected Residual Transactions using a recency-frequency matrix
bgbb.rf.matrix.LL | BG/BB Log-Likelihood using a recency-frequency matrix
bgbb.rf.matrix.PosteriorMeanDropoutRate | BG/BB Posterior Mean Dropout Rate using a recency-frequency matrix
bgbb.rf.matrix.PosteriorMeanTransactionRate | BG/BB Posterior Mean Transaction Rate using a recency-frequency matrix
bgnbd.cbs.LL | BG/NBD Log-Likelihood Wrapper
bgnbd.ConditionalExpectedTransactions | BG/NBD Conditional Expected Transactions
bgnbd.EstimateParameters | BG/NBD Parameter Estimation
bgnbd.Expectation | BG/NBD Expectation
bgnbd.ExpectedCumulativeTransactions | BG/NBD Expected Cumulative Transactions
bgnbd.generalParams | Define general parameters
bgnbd.LL | BG/NBD Log-Likelihood
bgnbd.PAlive | BG/NBD P(Alive)
bgnbd.PlotDropoutRateHeterogeneity | BG/NBD Plot Dropout Probability Heterogeneity
bgnbd.PlotFrequencyInCalibration | BG/NBD Plot Frequency in Calibration Period
bgnbd.PlotFreqVsConditionalExpectedFrequency | BG/NBD Plot Frequency vs. Conditional Expected Frequency
bgnbd.PlotRecVsConditionalExpectedFrequency | BG/NBD Plot Actual vs. Conditional Expected Frequency by Recency
bgnbd.PlotTrackingCum | BG/NBD Tracking Cumulative Transactions Plot
bgnbd.PlotTrackingInc | BG/NBD Tracking Incremental Transactions Comparison
bgnbd.PlotTransactionRateHeterogeneity | BG/NBD Plot Transaction Rate Heterogeneity
bgnbd.pmf | BG/NBD Probability Mass Function
bgnbd.pmf.General | Generalized BG/NBD Probability Mass Function
BTYD | This project was funded and sponsored by Wharton Customer Analytics.

## -- C --

cdnowElog | CDNOW event log data
cdnowSummary | CDNOW repeat transaction data summary

## -- D --

dc.BuildCBSFromCBTAndDates | Build CBS matrix from CBT matrix
dc.BuildCBTFromElog | Build Customer-by-Time Matrix from Event Log
dc.check.model.params | Check model params
dc.compress.cbs | Compress Customer-by-Sufficient-Statistic (CBS) Matrix
dc.CreateFreqCBT | Create Frequency Customer-by-Time Matrix
dc.CreateReachCBT | Create Reach Customer-by-Time Matrix
dc.CreateSpendCBT | Create Spend Customer-by-Time Matrix
dc.CumulativeToIncremental | Cumulative to Incremental
dc.DissipateElog | Dissipate Event Log
dc.ElogToCbsCbt | Convert Event Log to CBS and CBT Matrices
dc.FilterCustByBirth | Filter Customer by Birth
dc.GetFirstPurchasePeriodsFromCBT | Get First Purchase Periods from Customer-by-Time Matrix
dc.GetLastPurchasePeriodsFromCBT | Get Last Purchase Periods from Customer-by-Time Matrix
dc.InputCheck | Check the inputs to functions that use this common pattern
dc.MakeRFmatrixCal | Make Calibration Period Recency-Frequency Matrix
dc.MakeRFmatrixHoldout | Make Holdout Period Recency-Frequency Matrix
dc.MakeRFmatrixSkeleton | Make Recency-Frequency Matrix Skeleton
dc.MergeCustomers | Merge Customers
dc.MergeTransactionsOnSameDate | Merge Transactions on Same Day
dc.PlotLogLikelihoodContour | Plot Log-Likelihood Contour
dc.PlotLogLikelihoodContours | Plot Log-Likelihood Contours
dc.ReadLines | Read Lines
dc.RemoveTimeBetween | Remove Time Between
dc.SplitUpElogForRepeatTrans | Split Up Event Log for Repeat Transactions
dc.WriteLine | Write Line
discreteSimElog | Discrete simulated annual event log data
donationsSummary | Discrete donation data summary

## -- H --

h2f1 | Use Bruce Hardie's Gaussian hypergeometric implementation

## -- P --

pnbd.cbs.LL | Pareto/NBD Log-Likelihood
pnbd.ConditionalExpectedTransactions | Pareto/NBD Conditional Expected Transactions
pnbd.DERT | Pareto/NBD Discounted Expected Residual Transactions
pnbd.EstimateParameters | Pareto/NBD Parameter Estimation
pnbd.Expectation | Pareto/NBD Expectation
pnbd.ExpectedCumulativeTransactions | Pareto/NBD Expected Cumulative Transactions
pnbd.generalParams | Define general parameters
pnbd.LL | Pareto/NBD Log-Likelihood
pnbd.PAlive | Pareto/NBD P(Alive)
pnbd.Plot.DERT | Pareto/NBD Plot Discounted Expected Residual Transactions
pnbd.PlotDropoutRateHeterogeneity | Pareto/NBD Plot Dropout Rate Heterogeneity
pnbd.PlotFrequencyInCalibration | Pareto/NBD Plot Frequency in Calibration Period
pnbd.PlotFreqVsConditionalExpectedFrequency | Pareto/NBD Plot Frequency vs. Conditional Expected Frequency
pnbd.PlotRateHeterogeneity | Plot Pareto/NBD Rate Heterogeneity
pnbd.PlotRecVsConditionalExpectedFrequency | Pareto/NBD Plot Actual vs. Conditional Expected Frequency by Recency
pnbd.PlotTrackingCum | Pareto/NBD Tracking Cumulative Transactions Plot
pnbd.PlotTrackingInc | Pareto/NBD Tracking Incremental Transactions Comparison
pnbd.PlotTransactionRateHeterogeneity | Pareto/NBD Plot Transaction Rate Heterogeneity
pnbd.pmf | Pareto/NBD Probability Mass Function
pnbd.pmf.General | Generalized Pareto/NBD Probability Mass Function

## -- S --

spend.EstimateParameters | Spend Parameter Estimation
spend.expected.value | Conditional expected transaction value
spend.generalParams | Define general parameters
spend.LL | Spend Log-Likelihood
spend.marginal.likelihood | Gamma-gamma marginal likelihood
spend.plot.average.transaction.value | Plot Actual vs. Expected Average Transaction Value
subLogs | Subtract Logs