bgnbd.PlotTransactionRateHeterogeneity: BG/NBD Plot Transaction 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 lambda (customers'
propensities to purchase).
Usage
1
bgnbd.PlotTransactionRateHeterogeneity(params, lim = NULL)
Arguments
params
BG/NBD parameters - a vector with r, alpha, a, and b, in that
order. r and alpha are unobserved parameters for the NBD transaction
process. a and b are unobserved parameters for the Beta geometric dropout
process.
lim
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 Poisson parameter, which
determines the rate at which each customer buys.
Value
Distribution of customers' propensities to purchase.
Examples
1
2
3
4
params <- c(0.243, 4.414, 0.793, 2.426)
bgnbd.PlotTransactionRateHeterogeneity(params)
params <- c(0.53, 4.414, 0.793, 2.426)
bgnbd.PlotTransactionRateHeterogeneity(params)
Example output
Loading required package: hypergeo
[,1] [,2] [,3] [,4] [,5] [,6]
x.axis.ticks 0 0.005499636 0.01099927 0.01649891 0.02199854 0.02749818
heterogeneity Inf 19.244194316 11.11417824 7.98056437 6.26487358 5.16426789
[,7] [,8] [,9] [,10] [,11] [,12]
x.axis.ticks 0.03299782 0.03849745 0.04399709 0.04949672 0.05499636 0.060496
heterogeneity 4.39062039 3.81333097 3.36404602 3.00328674 2.70654785 2.457756
[,13] [,14] [,15] [,16] [,17] [,18]
x.axis.ticks 0.06599563 0.07149527 0.0769949 0.08249454 0.08799418 0.09349381
heterogeneity 2.24589872 2.06315845 1.9038210 1.76360483 1.63923367 1.52815424
[,19] [,20] [,21] [,22] [,23] [,24]
x.axis.ticks 0.09899345 0.1044931 0.1099927 0.1154924 0.120992 0.1264916
heterogeneity 1.42834483 1.3381821 1.2563461 1.1817520 1.113499 1.0508314
[,25] [,26] [,27] [,28] [,29] [,30]
x.axis.ticks 0.1319913 0.1374909 0.1429905 0.1484902 0.1539898 0.1594894
heterogeneity 0.9931125 0.9397992 0.8904267 0.8445939 0.8019532 0.7622013
[,31] [,32] [,33] [,34] [,35] [,36]
x.axis.ticks 0.1649891 0.1704887 0.1759884 0.1814880 0.1869876 0.1924873
heterogeneity 0.7250727 0.6903333 0.6577766 0.6272191 0.5984972 0.5714648
[,37] [,38] [,39] [,40] [,41] [,42]
x.axis.ticks 0.1979869 0.2034865 0.2089862 0.2144858 0.2199854 0.2254851
heterogeneity 0.5459908 0.5219572 0.4992577 0.4777959 0.4574843 0.4382436
[,43] [,44] [,45] [,46] [,47] [,48]
x.axis.ticks 0.2309847 0.2364843 0.2419840 0.2474836 0.2529833 0.2584829
heterogeneity 0.4200012 0.4026911 0.3862525 0.3706299 0.3557721 0.3416323
[,49] [,50] [,51] [,52] [,53] [,54]
x.axis.ticks 0.2639825 0.2694822 0.2749818 0.2804814 0.2859811 0.2914807
heterogeneity 0.3281668 0.3153357 0.3031019 0.2914309 0.2802909 0.2696523
[,55] [,56] [,57] [,58] [,59] [,60]
x.axis.ticks 0.2969803 0.3024800 0.3079796 0.3134793 0.3189789 0.3244785
heterogeneity 0.2594873 0.2497704 0.2404776 0.2315864 0.2230759 0.2149265
[,61] [,62] [,63] [,64] [,65] [,66]
x.axis.ticks 0.3299782 0.3354778 0.3409774 0.3464771 0.3519767 0.3574763
heterogeneity 0.2071199 0.1996388 0.1924671 0.1855895 0.1789919 0.1726607
[,67] [,68] [,69] [,70] [,71] [,72]
x.axis.ticks 0.3629760 0.3684756 0.3739752 0.3794749 0.3849745 0.3904742
heterogeneity 0.1665833 0.1607478 0.1551428 0.1497578 0.1445827 0.1396080
[,73] [,74] [,75] [,76] [,77] [,78]
x.axis.ticks 0.3959738 0.4014734 0.4069731 0.4124727 0.4179723 0.4234720
heterogeneity 0.1348247 0.1302243 0.1257988 0.1215404 0.1174421 0.1134967
[,79] [,80] [,81] [,82] [,83] [,84]
x.axis.ticks 0.4289716 0.4344712 0.4399709 0.4454705 0.45097015 0.45646979
heterogeneity 0.1096980 0.1060395 0.1025155 0.0991204 0.09584874 0.09269552
[,85] [,86] [,87] [,88] [,89] [,90]
x.axis.ticks 0.46196942 0.46746906 0.47296870 0.47846833 0.4839680 0.48946760
heterogeneity 0.08965588 0.08672521 0.08389914 0.08117347 0.0785442 0.07600753
[,91] [,92] [,93] [,94] [,95] [,96]
x.axis.ticks 0.49496724 0.50046688 0.50596651 0.51146615 0.51696578 0.52246542
heterogeneity 0.07355981 0.07119757 0.06891749 0.06671639 0.06459125 0.06253916
[,97] [,98] [,99] [,100]
x.axis.ticks 0.52796506 0.53346469 0.53896433 0.54446396
heterogeneity 0.06055734 0.05864315 0.05679403 0.05500755
[,1] [,2] [,3] [,4] [,5] [,6]
x.axis.ticks 0 0.007795883 0.01559177 0.02338765 0.03118353 0.03897941
heterogeneity Inf 12.408358913 8.65537185 6.91159561 5.83327694 5.07481682
[,7] [,8] [,9] [,10] [,11] [,12]
x.axis.ticks 0.0467753 0.05457118 0.06236706 0.07016294 0.07795883 0.08575471
heterogeneity 4.5004990 4.04437258 3.66986783 3.35478135 3.08470531 2.84980143
[,13] [,14] [,15] [,16] [,17] [,18]
x.axis.ticks 0.09355059 0.1013465 0.1091424 0.1169382 0.1247341 0.132530
heterogeneity 2.64307482 2.4593863 2.2948560 2.1464867 2.0119175 1.889257
[,19] [,20] [,21] [,22] [,23] [,24]
x.axis.ticks 0.1403259 0.1481218 0.1559177 0.1637135 0.1715094 0.1793053
heterogeneity 1.7769674 1.6737817 1.5786447 1.4906679 1.4090967 1.3332846
[,25] [,26] [,27] [,28] [,29] [,30]
x.axis.ticks 0.1871012 0.1948971 0.2026929 0.2104888 0.2182847 0.2260806
heterogeneity 1.2626737 1.1967794 1.1351779 1.0774966 1.0234063 0.9726146
[,31] [,32] [,33] [,34] [,35] [,36]
x.axis.ticks 0.2338765 0.2416724 0.2494682 0.2572641 0.265060 0.2728559
heterogeneity 0.9248607 0.8799111 0.8375559 0.7976056 0.759889 0.7242504
[,37] [,38] [,39] [,40] [,41] [,42]
x.axis.ticks 0.2806518 0.2884477 0.2962435 0.3040394 0.3118353 0.3196312
heterogeneity 0.6905482 0.6586533 0.6284473 0.5998218 0.5726772 0.5469218
[,43] [,44] [,45] [,46] [,47] [,48]
x.axis.ticks 0.3274271 0.3352229 0.3430188 0.3508147 0.3586106 0.3664065
heterogeneity 0.5224707 0.4992458 0.4771746 0.4561899 0.4362293 0.4172348
[,49] [,50] [,51] [,52] [,53] [,54]
x.axis.ticks 0.3742024 0.3819982 0.3897941 0.3975900 0.4053859 0.4131818
heterogeneity 0.3991523 0.3819313 0.3655250 0.3498891 0.3349827 0.3207670
[,55] [,56] [,57] [,58] [,59] [,60]
x.axis.ticks 0.4209777 0.4287735 0.4365694 0.4443653 0.4521612 0.4599571
heterogeneity 0.3072061 0.2942659 0.2819145 0.2701221 0.2588604 0.2481029
[,61] [,62] [,63] [,64] [,65] [,66]
x.axis.ticks 0.4677530 0.4755488 0.4833447 0.4911406 0.4989365 0.5067324
heterogeneity 0.2378245 0.2280018 0.2186123 0.2096352 0.2010505 0.1928395
[,67] [,68] [,69] [,70] [,71] [,72]
x.axis.ticks 0.5145282 0.5223241 0.5301200 0.5379159 0.5457118 0.5535077
heterogeneity 0.1849844 0.1774684 0.1702756 0.1633910 0.1568002 0.1504896
[,73] [,74] [,75] [,76] [,77] [,78]
x.axis.ticks 0.5613035 0.5690994 0.5768953 0.5846912 0.5924871 0.6002830
heterogeneity 0.1444466 0.1386587 0.1331146 0.1278030 0.1227137 0.1178366
[,79] [,80] [,81] [,82] [,83] [,84]
x.axis.ticks 0.6080788 0.6158747 0.6236706 0.6314665 0.63926237 0.6470582
heterogeneity 0.1131624 0.1086819 0.1043867 0.1002686 0.09631986 0.0925331
[,85] [,86] [,87] [,88] [,89] [,90]
x.axis.ticks 0.65485413 0.66265001 0.67044590 0.67824178 0.68603766 0.69383354
heterogeneity 0.08890129 0.08541771 0.08207597 0.07886998 0.07579392 0.07284226
[,91] [,92] [,93] [,94] [,95] [,96]
x.axis.ticks 0.7016294 0.70942531 0.71722119 0.72501707 0.73281296 0.74060884
heterogeneity 0.0700097 0.06729119 0.06468192 0.06217727 0.05977286 0.05746448
[,97] [,98] [,99] [,100]
x.axis.ticks 0.74840472 0.75620061 0.76399649 0.77179237
heterogeneity 0.05524813 0.05311997 0.05107634 0.04911374
BTYD documentation built on Nov. 18, 2021, 1:10 a.m.
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Description Usage Arguments Details Value Examples
Description
Plots and returns the estimated gamma distribution of lambda (customers' propensities to purchase).
Usage
1 | bgnbd.PlotTransactionRateHeterogeneity(params, lim = NULL)
|
Arguments
params |
BG/NBD parameters - a vector with r, alpha, a, and b, in that order. r and alpha are unobserved parameters for the NBD transaction process. a and b are unobserved parameters for the Beta geometric dropout process. |
lim |
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 Poisson parameter, which determines the rate at which each customer buys.
Value
Distribution of customers' propensities to purchase.
Examples
1 2 3 4 | params <- c(0.243, 4.414, 0.793, 2.426)
bgnbd.PlotTransactionRateHeterogeneity(params)
params <- c(0.53, 4.414, 0.793, 2.426)
bgnbd.PlotTransactionRateHeterogeneity(params)
|
Example output
Loading required package: hypergeo
[,1] [,2] [,3] [,4] [,5] [,6]
x.axis.ticks 0 0.005499636 0.01099927 0.01649891 0.02199854 0.02749818
heterogeneity Inf 19.244194316 11.11417824 7.98056437 6.26487358 5.16426789
[,7] [,8] [,9] [,10] [,11] [,12]
x.axis.ticks 0.03299782 0.03849745 0.04399709 0.04949672 0.05499636 0.060496
heterogeneity 4.39062039 3.81333097 3.36404602 3.00328674 2.70654785 2.457756
[,13] [,14] [,15] [,16] [,17] [,18]
x.axis.ticks 0.06599563 0.07149527 0.0769949 0.08249454 0.08799418 0.09349381
heterogeneity 2.24589872 2.06315845 1.9038210 1.76360483 1.63923367 1.52815424
[,19] [,20] [,21] [,22] [,23] [,24]
x.axis.ticks 0.09899345 0.1044931 0.1099927 0.1154924 0.120992 0.1264916
heterogeneity 1.42834483 1.3381821 1.2563461 1.1817520 1.113499 1.0508314
[,25] [,26] [,27] [,28] [,29] [,30]
x.axis.ticks 0.1319913 0.1374909 0.1429905 0.1484902 0.1539898 0.1594894
heterogeneity 0.9931125 0.9397992 0.8904267 0.8445939 0.8019532 0.7622013
[,31] [,32] [,33] [,34] [,35] [,36]
x.axis.ticks 0.1649891 0.1704887 0.1759884 0.1814880 0.1869876 0.1924873
heterogeneity 0.7250727 0.6903333 0.6577766 0.6272191 0.5984972 0.5714648
[,37] [,38] [,39] [,40] [,41] [,42]
x.axis.ticks 0.1979869 0.2034865 0.2089862 0.2144858 0.2199854 0.2254851
heterogeneity 0.5459908 0.5219572 0.4992577 0.4777959 0.4574843 0.4382436
[,43] [,44] [,45] [,46] [,47] [,48]
x.axis.ticks 0.2309847 0.2364843 0.2419840 0.2474836 0.2529833 0.2584829
heterogeneity 0.4200012 0.4026911 0.3862525 0.3706299 0.3557721 0.3416323
[,49] [,50] [,51] [,52] [,53] [,54]
x.axis.ticks 0.2639825 0.2694822 0.2749818 0.2804814 0.2859811 0.2914807
heterogeneity 0.3281668 0.3153357 0.3031019 0.2914309 0.2802909 0.2696523
[,55] [,56] [,57] [,58] [,59] [,60]
x.axis.ticks 0.2969803 0.3024800 0.3079796 0.3134793 0.3189789 0.3244785
heterogeneity 0.2594873 0.2497704 0.2404776 0.2315864 0.2230759 0.2149265
[,61] [,62] [,63] [,64] [,65] [,66]
x.axis.ticks 0.3299782 0.3354778 0.3409774 0.3464771 0.3519767 0.3574763
heterogeneity 0.2071199 0.1996388 0.1924671 0.1855895 0.1789919 0.1726607
[,67] [,68] [,69] [,70] [,71] [,72]
x.axis.ticks 0.3629760 0.3684756 0.3739752 0.3794749 0.3849745 0.3904742
heterogeneity 0.1665833 0.1607478 0.1551428 0.1497578 0.1445827 0.1396080
[,73] [,74] [,75] [,76] [,77] [,78]
x.axis.ticks 0.3959738 0.4014734 0.4069731 0.4124727 0.4179723 0.4234720
heterogeneity 0.1348247 0.1302243 0.1257988 0.1215404 0.1174421 0.1134967
[,79] [,80] [,81] [,82] [,83] [,84]
x.axis.ticks 0.4289716 0.4344712 0.4399709 0.4454705 0.45097015 0.45646979
heterogeneity 0.1096980 0.1060395 0.1025155 0.0991204 0.09584874 0.09269552
[,85] [,86] [,87] [,88] [,89] [,90]
x.axis.ticks 0.46196942 0.46746906 0.47296870 0.47846833 0.4839680 0.48946760
heterogeneity 0.08965588 0.08672521 0.08389914 0.08117347 0.0785442 0.07600753
[,91] [,92] [,93] [,94] [,95] [,96]
x.axis.ticks 0.49496724 0.50046688 0.50596651 0.51146615 0.51696578 0.52246542
heterogeneity 0.07355981 0.07119757 0.06891749 0.06671639 0.06459125 0.06253916
[,97] [,98] [,99] [,100]
x.axis.ticks 0.52796506 0.53346469 0.53896433 0.54446396
heterogeneity 0.06055734 0.05864315 0.05679403 0.05500755
[,1] [,2] [,3] [,4] [,5] [,6]
x.axis.ticks 0 0.007795883 0.01559177 0.02338765 0.03118353 0.03897941
heterogeneity Inf 12.408358913 8.65537185 6.91159561 5.83327694 5.07481682
[,7] [,8] [,9] [,10] [,11] [,12]
x.axis.ticks 0.0467753 0.05457118 0.06236706 0.07016294 0.07795883 0.08575471
heterogeneity 4.5004990 4.04437258 3.66986783 3.35478135 3.08470531 2.84980143
[,13] [,14] [,15] [,16] [,17] [,18]
x.axis.ticks 0.09355059 0.1013465 0.1091424 0.1169382 0.1247341 0.132530
heterogeneity 2.64307482 2.4593863 2.2948560 2.1464867 2.0119175 1.889257
[,19] [,20] [,21] [,22] [,23] [,24]
x.axis.ticks 0.1403259 0.1481218 0.1559177 0.1637135 0.1715094 0.1793053
heterogeneity 1.7769674 1.6737817 1.5786447 1.4906679 1.4090967 1.3332846
[,25] [,26] [,27] [,28] [,29] [,30]
x.axis.ticks 0.1871012 0.1948971 0.2026929 0.2104888 0.2182847 0.2260806
heterogeneity 1.2626737 1.1967794 1.1351779 1.0774966 1.0234063 0.9726146
[,31] [,32] [,33] [,34] [,35] [,36]
x.axis.ticks 0.2338765 0.2416724 0.2494682 0.2572641 0.265060 0.2728559
heterogeneity 0.9248607 0.8799111 0.8375559 0.7976056 0.759889 0.7242504
[,37] [,38] [,39] [,40] [,41] [,42]
x.axis.ticks 0.2806518 0.2884477 0.2962435 0.3040394 0.3118353 0.3196312
heterogeneity 0.6905482 0.6586533 0.6284473 0.5998218 0.5726772 0.5469218
[,43] [,44] [,45] [,46] [,47] [,48]
x.axis.ticks 0.3274271 0.3352229 0.3430188 0.3508147 0.3586106 0.3664065
heterogeneity 0.5224707 0.4992458 0.4771746 0.4561899 0.4362293 0.4172348
[,49] [,50] [,51] [,52] [,53] [,54]
x.axis.ticks 0.3742024 0.3819982 0.3897941 0.3975900 0.4053859 0.4131818
heterogeneity 0.3991523 0.3819313 0.3655250 0.3498891 0.3349827 0.3207670
[,55] [,56] [,57] [,58] [,59] [,60]
x.axis.ticks 0.4209777 0.4287735 0.4365694 0.4443653 0.4521612 0.4599571
heterogeneity 0.3072061 0.2942659 0.2819145 0.2701221 0.2588604 0.2481029
[,61] [,62] [,63] [,64] [,65] [,66]
x.axis.ticks 0.4677530 0.4755488 0.4833447 0.4911406 0.4989365 0.5067324
heterogeneity 0.2378245 0.2280018 0.2186123 0.2096352 0.2010505 0.1928395
[,67] [,68] [,69] [,70] [,71] [,72]
x.axis.ticks 0.5145282 0.5223241 0.5301200 0.5379159 0.5457118 0.5535077
heterogeneity 0.1849844 0.1774684 0.1702756 0.1633910 0.1568002 0.1504896
[,73] [,74] [,75] [,76] [,77] [,78]
x.axis.ticks 0.5613035 0.5690994 0.5768953 0.5846912 0.5924871 0.6002830
heterogeneity 0.1444466 0.1386587 0.1331146 0.1278030 0.1227137 0.1178366
[,79] [,80] [,81] [,82] [,83] [,84]
x.axis.ticks 0.6080788 0.6158747 0.6236706 0.6314665 0.63926237 0.6470582
heterogeneity 0.1131624 0.1086819 0.1043867 0.1002686 0.09631986 0.0925331
[,85] [,86] [,87] [,88] [,89] [,90]
x.axis.ticks 0.65485413 0.66265001 0.67044590 0.67824178 0.68603766 0.69383354
heterogeneity 0.08890129 0.08541771 0.08207597 0.07886998 0.07579392 0.07284226
[,91] [,92] [,93] [,94] [,95] [,96]
x.axis.ticks 0.7016294 0.70942531 0.71722119 0.72501707 0.73281296 0.74060884
heterogeneity 0.0700097 0.06729119 0.06468192 0.06217727 0.05977286 0.05746448
[,97] [,98] [,99] [,100]
x.axis.ticks 0.74840472 0.75620061 0.76399649 0.77179237
heterogeneity 0.05524813 0.05311997 0.05107634 0.04911374
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