 # Predict facebook impressions adopting a mathematical model of the hit phenomenon

50 %
50 %
Technology

Published on March 12, 2014

Author: ijitmc

Source: slideshare.net

## Description

A mathematical model for the hit phenomenon in entertainment within a society is presented as a stochastic
process of interactions of human dynamics. The calculations for the Japanese motion picture market based
on to the mathematical model agree very well with the actual residue distribution in time. Views of
Facebook could be predicted by the number of all the action in the viewer Facebook on this paper. In other
words, Views So if determined by the actions for which you want to advertise, we will begin to see is how to

International Journal of Information Technology, Modeling and Computing (IJITMC) Vol. 2, No. 1, February 2014 64 and the rumor in the society. In this paper, the access with friends is considered as direct access or two-body interaction. The page in Facebook is considered as indirect access or three-body interaction. In this model, we define the intention for person "i" in the Facebook to activities as ( ). The model can describe the intention of each person for viewing as the equation of the intention of person i with two-body interaction and three-body interaction terms. According to the Reference, we write down the equation of the intention at the individual level as (1) where dij, hijk, and fi(t) are the coefficient of the direct access, the coefficient of the indirect access, and the random effect for person i, respectively. We consider the above equation for every person in the Facebook so that i = 1, Np where is the effective population of the Facebook for a certain Facebook pages. The advertisement and publicity effect for each person can be described as the random effect fi(t). Eq. (1) is the equation for all individual persons, but it is not convenient for analysis. Thus, we consider here the ensemble average of the intention of individual persons as follows: (2) Taking the ensemble average of Eq. (1), we obtain for the left-hand side: (3) For the right-hand side, the ensemble average of the first, second, and third is as follows: (4) I t( ) = 1 N Ii t( ) i å dIi t( ) dt = 1 N dIi t( ) dt = d dt 1 N Ii t( ) i å æ èç ö ø÷= d I dti å - aIi = - a 1 N Ii t( ) i å = - a I t( ) dijIj t( ) j å = dIj t( ) j å = 1 N dIj t( ) j åi å = i å d 1 N Ij t( ) j å = Nd I t( ) pijkIj t( )Ik t( ) k åj å = p Ij t( )Ik t( ) k åj å = 1 N p Ij t( )Ik t( ) k åj åi å = p 1 N Ij t( )Ik t( ) k åj åi å = Np 1 N Ij t( ) 1 N Ik t( ) k åj åi å = N2 p I t( ) 2 dIi t( ) dt = - aIi t( )+ dijIj t( ) j å + hijkdjkIj t( )Ik t( ) k åj å + fi t( )

International Journal of Information Technology, Modeling and Computing (IJITMC) Vol. 2, No. 1, February 2014 65 (5) (6) where we assume that the coefficient of the direct and indirect access can be approximated to be under the ensemble average. For the fourth term of Eq. (1), the random effect term, we consider that the random effect can be divided into two parts: the collective effect and the individual effect: (7) (8) where Δ ( ) means the deviation of the individual external effects from the collective effect, 〈 ( )〉. Thus, we consider here that the collective external effect term 〈 ( )〉 corresponds to advertisements and publicity to persons in the Facebook. The deviation term Δ ( ) corresponds to the deviation effect from the collective advertisement and publicity effect for individual persons, which we can assume to be (9) Therefore, we obtain the equation for the ensemble-averaged intention to viewing in the following manner as shown in Refernce: (10) here (11) Facebook Action are the very important factor to increase the intention of each person for viewing pages in Facebook. We consider the action effect as an external force term A(t) to the intention as follows, (12) dij @ d hijkdjk = pijk @ p fi t( ) = 1 N fi t( ) i å = f t( ) d I t( ) dt = - a I t( ) + D I t( ) +P I t( ) 2 + f t( ) Nd = D N2 p = P fi t( ) = f t( ) + D fi t( ) D fi t( ) = 1 N D fi t( ) i å = 0

 User name: Comment:

## Related presentations #### Neuquén y el Gobierno Abierto

October 30, 2014

Presentación que realice en el Evento Nacional de Gobierno Abierto, realizado los ... #### Decision CAMP 2014 - Erik Marutian - Using rules-b...

October 16, 2014

In this presentation we will describe our experience developing with a highly dyna... #### Schema.org: What It Means For You and Your Library

November 7, 2014

Presentation to the LITA Forum 7th November 2014 Albuquerque, NM #### WearableTech: Una transformación social de los p...

November 3, 2014

Un recorrido por los cambios que nos generará el wearabletech en el futuro #### O Impacto de Wearable Computers na vida das pessoa...

November 5, 2014

Um paralelo entre as novidades & mercado em Wearable Computing e Tecnologias Assis... #### All you need to know about the Microsoft Band

November 6, 2014

Microsoft finally joins the smartwatch and fitness tracker game by introducing the...

## Related pages

A mathematical model for the hit phenomenon in entertainment within a society is presented as a stochastic process of interactions of human dynamics. The ...

### Promotion Theater Company adopting a mathematical model of ...

... a mathematical model of the Hit Phenomenon on ... Facebook Adapting the Mathematical Model of ... Impressions Adopting a Mathematical Model of ...

### Promotion Theater Company adopting a mathematical model of ...

Promotion Theater Company adopting a mathematical model ... A mathematical model for the hit phenomenon ... Hit Phenomena for Facebook . The model ...

### Possibility predict Japanese artist's reputation in the ...

Possibility predict Japanese ... A mathematical model for the hit phenomenon in ... Predict Facebook Impressions Adopting a Mathematical Model ...

### hitphenomenalab | Publish

... IMPRESSIONS ADOPTING A MATHEMATICAL MODEL ... Facebook Adapting the Mathematical Model ... a mathematical model of the Hit Phenomenon" ...

### A Mathematical Model for Hit Phenomena - jstage.jst.go.jp

... The ’hit’ phenomenon: A mathematical model of ... Mathematical model for hit ... facebook impressions adopting a mathematical ...

### Current Issue - AIRCC Publishing Corporation

Current Issue Volume 2, Number 3 ... Predict Facebook Impressions Adopting a Mathematical Model of the Hit Phenomenon Full Text Kawahata Yasuko 1, ...

### ヒット現象の数理モデル - jstage.jst.go.jp

Predict facebook impressions adopting a mathematical model of the hit phenomenon. International Journal of Information Technology, ...