pnbd.PlotDropoutRateHeterogeneity: Pareto/NBD Plot Dropout Rate Heterogeneity
In BTYD: Implementing BTYD Models with the Log Sum Exp Patch
Description
Usage
Arguments
Details
Value
Examples
Description
Plots and returns the estimated gamma distribution of mu (customers'
propensities to drop out).
Usage
1
pnbd.PlotDropoutRateHeterogeneity(params, lim = NULL)
Arguments
params
Pareto/NBD parameters - a vector with r, alpha, s, and beta, in
that order. r and alpha are unobserved parameters for the NBD transaction
process. s and beta are unobserved parameters for the Pareto (exponential
gamma) dropout process.
lim
The upper-bound of the x-axis. A number is chosen by the function
if none is provided.
Details
This returns the distribution of each customer's exponential parameter that
determines their lifetime (using the Pareto/NBD assumption that a customer's
lifetime can be modeled with an exponential distribution).
Value
Distribution of customers' propensities to drop out.
Examples
1
2
3
4
params <- c(0.55, 10.56, 0.61, 11.64)
pnbd.PlotDropoutRateHeterogeneity(params)
params <- c(0.55, 10.56, 3, 11.64)
pnbd.PlotDropoutRateHeterogeneity(params)
Example output
Loading required package: hypergeo
[,1] [,2] [,3] [,4] [,5]
x.axis.ticks 0 0.003153792 0.006307583 0.009461375 0.01261517
heterogeneity Inf 27.759092104 20.420226327 16.805132923 14.48014252
[,6] [,7] [,8] [,9] [,10]
x.axis.ticks 0.01576896 0.01892275 0.02207654 0.02523033 0.02838412
heterogeneity 12.79484187 11.48712187 10.42699037 9.54111444 8.78428895
[,11] [,12] [,13] [,14] [,15] [,16]
x.axis.ticks 0.03153792 0.03469171 0.0378455 0.04099929 0.04415308 0.04730687
heterogeneity 8.12677401 7.54800237 7.0331759 6.57129934 6.15398192 5.77467505
[,17] [,18] [,19] [,20] [,21] [,22]
x.axis.ticks 0.05046066 0.05361446 0.05676825 0.05992204 0.06307583 0.06622962
heterogeneity 5.42816875 5.11024881 4.81745692 4.54691886 4.29621891 4.06330635
[,23] [,24] [,25] [,26] [,27] [,28]
x.axis.ticks 0.06938341 0.0725372 0.075691 0.07884479 0.08199858 0.08515237
heterogeneity 3.84642473 3.6440575 3.454886 3.27775475 3.11164787 2.95566476
[,29] [,30] [,31] [,32] [,33] [,34]
x.axis.ticks 0.08830616 0.09145995 0.09461375 0.09776754 0.1009213 0.1040751
heterogeneity 2.80900428 2.67095030 2.54085995 2.41815396 2.3023085 2.1928481
[,35] [,36] [,37] [,38] [,39] [,40]
x.axis.ticks 0.1072289 0.1103827 0.1135365 0.1166903 0.1198441 0.1229979
heterogeneity 2.0893404 1.9913905 1.8986372 1.8107491 1.7274216 1.6483740
[,41] [,42] [,43] [,44] [,45] [,46]
x.axis.ticks 0.1261517 0.1293055 0.1324592 0.135613 0.1387668 0.1419206
heterogeneity 1.5733471 1.5021013 1.4344146 1.370081 1.3089087 1.2507198
[,47] [,48] [,49] [,50] [,51] [,52]
x.axis.ticks 0.1450744 0.1482282 0.151382 0.1545358 0.1576896 0.1608434
heterogeneity 1.1953479 1.1426381 1.092446 1.0446346 0.9990784 0.9556579
[,53] [,54] [,55] [,56] [,57] [,58]
x.axis.ticks 0.1639972 0.1671510 0.1703047 0.1734585 0.1766123 0.1797661
heterogeneity 0.9142617 0.8747848 0.8371287 0.8012008 0.7669137 0.7341852
[,59] [,60] [,61] [,62] [,63] [,64]
x.axis.ticks 0.1829199 0.1860737 0.1892275 0.1923813 0.1955351 0.1986889
heterogeneity 0.7029378 0.6730983 0.6445977 0.6173709 0.5913560 0.5664948
[,65] [,66] [,67] [,68] [,69] [,70]
x.axis.ticks 0.2018427 0.2049964 0.2081502 0.2113040 0.2144578 0.2176116
heterogeneity 0.5427321 0.5200158 0.4982962 0.4775266 0.4576624 0.4386615
[,71] [,72] [,73] [,74] [,75] [,76]
x.axis.ticks 0.2207654 0.2239192 0.2270730 0.2302268 0.2333806 0.2365344
heterogeneity 0.4204840 0.4030918 0.3864488 0.3705209 0.3552755 0.3406817
[,77] [,78] [,79] [,80] [,81] [,82]
x.axis.ticks 0.2396882 0.2428419 0.2459957 0.2491495 0.2523033 0.2554571
heterogeneity 0.3267099 0.3133324 0.3005223 0.2882545 0.2765047 0.2652500
[,83] [,84] [,85] [,86] [,87] [,88]
x.axis.ticks 0.2586109 0.2617647 0.2649185 0.2680723 0.2712261 0.2743799
heterogeneity 0.2544686 0.2441395 0.2342430 0.2247601 0.2156727 0.2069636
[,89] [,90] [,91] [,92] [,93] [,94]
x.axis.ticks 0.2775337 0.2806874 0.2838412 0.2869950 0.2901488 0.2933026
heterogeneity 0.1986165 0.1906156 0.1829460 0.1755935 0.1685444 0.1617857
[,95] [,96] [,97] [,98] [,99] [,100]
x.axis.ticks 0.2964564 0.2996102 0.302764 0.3059178 0.3090716 0.3122254
heterogeneity 0.1553051 0.1490906 0.143131 0.1374154 0.1319336 0.1266755
[,1] [,2] [,3] [,4] [,5] [,6]
x.axis.ticks 0 0.007294549 0.0145891 0.02188365 0.0291782 0.03647275
heterogeneity 0 0.038543448 0.1416235 0.29271329 0.4780184 0.68610298
[,7] [,8] [,9] [,10] [,11] [,12]
x.axis.ticks 0.0437673 0.05106185 0.05835639 0.06565094 0.07294549 0.08024004
heterogeneity 0.9075624 1.13473577 1.36145509 1.58282554 1.79503414 1.99518315
[,13] [,14] [,15] [,16] [,17] [,18]
x.axis.ticks 0.08753459 0.09482914 0.1021237 0.1094182 0.1167128 0.1240073
heterogeneity 2.18114517 2.35143765 2.5051141 2.6416705 2.7609642 2.8631450
[,19] [,20] [,21] [,22] [,23] [,24]
x.axis.ticks 0.1313019 0.1385964 0.145891 0.1531855 0.1604801 0.1677746
heterogeneity 2.9485954 3.0178807 3.071705 3.1108768 3.1362760 3.1488304
[,25] [,26] [,27] [,28] [,29] [,30]
x.axis.ticks 0.1750692 0.1823637 0.1896583 0.1969528 0.2042474 0.2115419
heterogeneity 3.1494938 3.1392289 3.1189926 3.0897252 3.0523412 3.0077220
[,31] [,32] [,33] [,34] [,35] [,36]
x.axis.ticks 0.2188365 0.226131 0.2334256 0.2407201 0.2480147 0.2553092
heterogeneity 2.9567111 2.900110 2.8386752 2.7731177 2.7041012 2.6322424
[,37] [,38] [,39] [,40] [,41] [,42]
x.axis.ticks 0.2626038 0.2698983 0.2771929 0.2844874 0.291782 0.2990765
heterogeneity 2.5581116 2.4822334 2.4050884 2.3271144 2.248709 2.1702292
[,43] [,44] [,45] [,46] [,47] [,48]
x.axis.ticks 0.3063711 0.3136656 0.3209602 0.3282547 0.3355493 0.3428438
heterogeneity 2.0919975 2.0143001 1.9373911 1.8614941 1.7868042 1.7134905
[,49] [,50] [,51] [,52] [,53] [,54]
x.axis.ticks 0.3501384 0.3574329 0.3647275 0.372022 0.3793166 0.3866111
heterogeneity 1.6416976 1.5715475 1.5031421 1.436564 1.3718799 1.3091392
[,55] [,56] [,57] [,58] [,59] [,60]
x.axis.ticks 0.3939057 0.4012002 0.4084948 0.4157893 0.4230839 0.4303784
heterogeneity 1.2483785 1.1896216 1.1328807 1.0781583 1.0254477 0.9747342
[,61] [,62] [,63] [,64] [,65] [,66]
x.axis.ticks 0.4376730 0.4449675 0.4522621 0.4595566 0.4668512 0.4741457
heterogeneity 0.9259966 0.8792072 0.8343334 0.7913380 0.7501801 0.7108157
[,67] [,68] [,69] [,70] [,71] [,72]
x.axis.ticks 0.4814403 0.4887348 0.4960294 0.5033239 0.5106185 0.5179130
heterogeneity 0.6731980 0.6372785 0.6030067 0.5703313 0.5391999 0.5095597
[,73] [,74] [,75] [,76] [,77] [,78]
x.axis.ticks 0.5252076 0.5325021 0.5397967 0.5470912 0.5543858 0.5616803
heterogeneity 0.4813579 0.4545414 0.4290579 0.4048551 0.3818818 0.3600874
[,79] [,80] [,81] [,82] [,83] [,84]
x.axis.ticks 0.5689749 0.5762694 0.5835639 0.5908585 0.5981530 0.6054476
heterogeneity 0.3394223 0.3198380 0.3012871 0.2837235 0.2671023 0.2513800
[,85] [,86] [,87] [,88] [,89] [,90]
x.axis.ticks 0.6127421 0.6200367 0.6273312 0.6346258 0.6419203 0.6492149
heterogeneity 0.2365145 0.2224651 0.2091922 0.1966581 0.1848261 0.1736612
[,91] [,92] [,93] [,94] [,95] [,96]
x.axis.ticks 0.6565094 0.6638040 0.6710985 0.6783931 0.6856876 0.6929822
heterogeneity 0.1631295 0.1531986 0.1438376 0.1350166 0.1267074 0.1188825
[,97] [,98] [,99] [,100]
x.axis.ticks 0.7002767 0.7075713 0.71486584 0.72216039
heterogeneity 0.1115162 0.1045836 0.09806115 0.09192633
BTYD documentation built on Nov. 18, 2021, 1:10 a.m.
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
Description Usage Arguments Details Value Examples
Description
Plots and returns the estimated gamma distribution of mu (customers' propensities to drop out).
Usage
1 | pnbd.PlotDropoutRateHeterogeneity(params, lim = NULL)
|
Arguments
params |
Pareto/NBD parameters - a vector with r, alpha, s, and beta, in that order. r and alpha are unobserved parameters for the NBD transaction process. s and beta are unobserved parameters for the Pareto (exponential gamma) dropout process. |
lim |
The upper-bound of the x-axis. A number is chosen by the function if none is provided. |
Details
This returns the distribution of each customer's exponential parameter that determines their lifetime (using the Pareto/NBD assumption that a customer's lifetime can be modeled with an exponential distribution).
Value
Distribution of customers' propensities to drop out.
Examples
1 2 3 4 | params <- c(0.55, 10.56, 0.61, 11.64)
pnbd.PlotDropoutRateHeterogeneity(params)
params <- c(0.55, 10.56, 3, 11.64)
pnbd.PlotDropoutRateHeterogeneity(params)
|
Example output
Loading required package: hypergeo
[,1] [,2] [,3] [,4] [,5]
x.axis.ticks 0 0.003153792 0.006307583 0.009461375 0.01261517
heterogeneity Inf 27.759092104 20.420226327 16.805132923 14.48014252
[,6] [,7] [,8] [,9] [,10]
x.axis.ticks 0.01576896 0.01892275 0.02207654 0.02523033 0.02838412
heterogeneity 12.79484187 11.48712187 10.42699037 9.54111444 8.78428895
[,11] [,12] [,13] [,14] [,15] [,16]
x.axis.ticks 0.03153792 0.03469171 0.0378455 0.04099929 0.04415308 0.04730687
heterogeneity 8.12677401 7.54800237 7.0331759 6.57129934 6.15398192 5.77467505
[,17] [,18] [,19] [,20] [,21] [,22]
x.axis.ticks 0.05046066 0.05361446 0.05676825 0.05992204 0.06307583 0.06622962
heterogeneity 5.42816875 5.11024881 4.81745692 4.54691886 4.29621891 4.06330635
[,23] [,24] [,25] [,26] [,27] [,28]
x.axis.ticks 0.06938341 0.0725372 0.075691 0.07884479 0.08199858 0.08515237
heterogeneity 3.84642473 3.6440575 3.454886 3.27775475 3.11164787 2.95566476
[,29] [,30] [,31] [,32] [,33] [,34]
x.axis.ticks 0.08830616 0.09145995 0.09461375 0.09776754 0.1009213 0.1040751
heterogeneity 2.80900428 2.67095030 2.54085995 2.41815396 2.3023085 2.1928481
[,35] [,36] [,37] [,38] [,39] [,40]
x.axis.ticks 0.1072289 0.1103827 0.1135365 0.1166903 0.1198441 0.1229979
heterogeneity 2.0893404 1.9913905 1.8986372 1.8107491 1.7274216 1.6483740
[,41] [,42] [,43] [,44] [,45] [,46]
x.axis.ticks 0.1261517 0.1293055 0.1324592 0.135613 0.1387668 0.1419206
heterogeneity 1.5733471 1.5021013 1.4344146 1.370081 1.3089087 1.2507198
[,47] [,48] [,49] [,50] [,51] [,52]
x.axis.ticks 0.1450744 0.1482282 0.151382 0.1545358 0.1576896 0.1608434
heterogeneity 1.1953479 1.1426381 1.092446 1.0446346 0.9990784 0.9556579
[,53] [,54] [,55] [,56] [,57] [,58]
x.axis.ticks 0.1639972 0.1671510 0.1703047 0.1734585 0.1766123 0.1797661
heterogeneity 0.9142617 0.8747848 0.8371287 0.8012008 0.7669137 0.7341852
[,59] [,60] [,61] [,62] [,63] [,64]
x.axis.ticks 0.1829199 0.1860737 0.1892275 0.1923813 0.1955351 0.1986889
heterogeneity 0.7029378 0.6730983 0.6445977 0.6173709 0.5913560 0.5664948
[,65] [,66] [,67] [,68] [,69] [,70]
x.axis.ticks 0.2018427 0.2049964 0.2081502 0.2113040 0.2144578 0.2176116
heterogeneity 0.5427321 0.5200158 0.4982962 0.4775266 0.4576624 0.4386615
[,71] [,72] [,73] [,74] [,75] [,76]
x.axis.ticks 0.2207654 0.2239192 0.2270730 0.2302268 0.2333806 0.2365344
heterogeneity 0.4204840 0.4030918 0.3864488 0.3705209 0.3552755 0.3406817
[,77] [,78] [,79] [,80] [,81] [,82]
x.axis.ticks 0.2396882 0.2428419 0.2459957 0.2491495 0.2523033 0.2554571
heterogeneity 0.3267099 0.3133324 0.3005223 0.2882545 0.2765047 0.2652500
[,83] [,84] [,85] [,86] [,87] [,88]
x.axis.ticks 0.2586109 0.2617647 0.2649185 0.2680723 0.2712261 0.2743799
heterogeneity 0.2544686 0.2441395 0.2342430 0.2247601 0.2156727 0.2069636
[,89] [,90] [,91] [,92] [,93] [,94]
x.axis.ticks 0.2775337 0.2806874 0.2838412 0.2869950 0.2901488 0.2933026
heterogeneity 0.1986165 0.1906156 0.1829460 0.1755935 0.1685444 0.1617857
[,95] [,96] [,97] [,98] [,99] [,100]
x.axis.ticks 0.2964564 0.2996102 0.302764 0.3059178 0.3090716 0.3122254
heterogeneity 0.1553051 0.1490906 0.143131 0.1374154 0.1319336 0.1266755
[,1] [,2] [,3] [,4] [,5] [,6]
x.axis.ticks 0 0.007294549 0.0145891 0.02188365 0.0291782 0.03647275
heterogeneity 0 0.038543448 0.1416235 0.29271329 0.4780184 0.68610298
[,7] [,8] [,9] [,10] [,11] [,12]
x.axis.ticks 0.0437673 0.05106185 0.05835639 0.06565094 0.07294549 0.08024004
heterogeneity 0.9075624 1.13473577 1.36145509 1.58282554 1.79503414 1.99518315
[,13] [,14] [,15] [,16] [,17] [,18]
x.axis.ticks 0.08753459 0.09482914 0.1021237 0.1094182 0.1167128 0.1240073
heterogeneity 2.18114517 2.35143765 2.5051141 2.6416705 2.7609642 2.8631450
[,19] [,20] [,21] [,22] [,23] [,24]
x.axis.ticks 0.1313019 0.1385964 0.145891 0.1531855 0.1604801 0.1677746
heterogeneity 2.9485954 3.0178807 3.071705 3.1108768 3.1362760 3.1488304
[,25] [,26] [,27] [,28] [,29] [,30]
x.axis.ticks 0.1750692 0.1823637 0.1896583 0.1969528 0.2042474 0.2115419
heterogeneity 3.1494938 3.1392289 3.1189926 3.0897252 3.0523412 3.0077220
[,31] [,32] [,33] [,34] [,35] [,36]
x.axis.ticks 0.2188365 0.226131 0.2334256 0.2407201 0.2480147 0.2553092
heterogeneity 2.9567111 2.900110 2.8386752 2.7731177 2.7041012 2.6322424
[,37] [,38] [,39] [,40] [,41] [,42]
x.axis.ticks 0.2626038 0.2698983 0.2771929 0.2844874 0.291782 0.2990765
heterogeneity 2.5581116 2.4822334 2.4050884 2.3271144 2.248709 2.1702292
[,43] [,44] [,45] [,46] [,47] [,48]
x.axis.ticks 0.3063711 0.3136656 0.3209602 0.3282547 0.3355493 0.3428438
heterogeneity 2.0919975 2.0143001 1.9373911 1.8614941 1.7868042 1.7134905
[,49] [,50] [,51] [,52] [,53] [,54]
x.axis.ticks 0.3501384 0.3574329 0.3647275 0.372022 0.3793166 0.3866111
heterogeneity 1.6416976 1.5715475 1.5031421 1.436564 1.3718799 1.3091392
[,55] [,56] [,57] [,58] [,59] [,60]
x.axis.ticks 0.3939057 0.4012002 0.4084948 0.4157893 0.4230839 0.4303784
heterogeneity 1.2483785 1.1896216 1.1328807 1.0781583 1.0254477 0.9747342
[,61] [,62] [,63] [,64] [,65] [,66]
x.axis.ticks 0.4376730 0.4449675 0.4522621 0.4595566 0.4668512 0.4741457
heterogeneity 0.9259966 0.8792072 0.8343334 0.7913380 0.7501801 0.7108157
[,67] [,68] [,69] [,70] [,71] [,72]
x.axis.ticks 0.4814403 0.4887348 0.4960294 0.5033239 0.5106185 0.5179130
heterogeneity 0.6731980 0.6372785 0.6030067 0.5703313 0.5391999 0.5095597
[,73] [,74] [,75] [,76] [,77] [,78]
x.axis.ticks 0.5252076 0.5325021 0.5397967 0.5470912 0.5543858 0.5616803
heterogeneity 0.4813579 0.4545414 0.4290579 0.4048551 0.3818818 0.3600874
[,79] [,80] [,81] [,82] [,83] [,84]
x.axis.ticks 0.5689749 0.5762694 0.5835639 0.5908585 0.5981530 0.6054476
heterogeneity 0.3394223 0.3198380 0.3012871 0.2837235 0.2671023 0.2513800
[,85] [,86] [,87] [,88] [,89] [,90]
x.axis.ticks 0.6127421 0.6200367 0.6273312 0.6346258 0.6419203 0.6492149
heterogeneity 0.2365145 0.2224651 0.2091922 0.1966581 0.1848261 0.1736612
[,91] [,92] [,93] [,94] [,95] [,96]
x.axis.ticks 0.6565094 0.6638040 0.6710985 0.6783931 0.6856876 0.6929822
heterogeneity 0.1631295 0.1531986 0.1438376 0.1350166 0.1267074 0.1188825
[,97] [,98] [,99] [,100]
x.axis.ticks 0.7002767 0.7075713 0.71486584 0.72216039
heterogeneity 0.1115162 0.1045836 0.09806115 0.09192633
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
Embedding an R snippet on your website
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.