The Repeated Solicitation Model
| dc.creator | Darling, R. W. R. | |
| dc.date | 1998-08-11 | |
| dc.date | 1998-09-15 | |
| dc.date.accessioned | 2026-07-07T05:25:41Z | |
| dc.date.available | 2026-07-07T05:25:41Z | |
| dc.description | This paper presents a probabilistic analysis of what we call the "repeated solicitation model". To give a specific context, suppose B is a direct marketing company with a list of S sales prospects. At epoch 1, B sends a solicitation to every prospect on the list, and elicits X(1) replies. The company deletes the respondents from the list, and at epoch 2 sends a solicitation to the other prospects, of whom X(2) respond, and so on. This continues until an epoch n such that X(n) = 0, which we call epoch T, and then B makes no further solicitations. We seek (a) the probability distribution of T; (b) the distribution of the total number of respondents; (c) the expected total number of solicitations. All three quantities are explicitly computed, assuming that (i) prospects' response times are independent, and (ii) S is Poisson distributed. | |
| dc.description | 18 pages 2 figures | |
| dc.identifier | https://arxiv.org/abs/math/9808049 | |
| dc.identifier | http://arxiv.org/abs/math/9808049 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77272 | |
| dc.subject | Probability | |
| dc.subject | 60J20, 90A60 | |
| dc.title | The Repeated Solicitation Model | |
| dc.type | text |