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Internet Celebrity Economy: Exploring the Value of Viewers’ Comment Features and Live Streamers’
               Marketing Strategies in Forecasting Revenue



               each category, representing the words in the text sample matching that category. Notably,
               the classification system includes categories for a variety of emotional dimensions, making
               it sensitive to the differences among discrete emotions.



                        4. Forecasting Model of Internet Streamer Revenues


                    Prior studies on viewers' gift-sending behavior in live streaming have ignored the

               effects of streamer heterogeneity (e.g., physical attractiveness or personalization). These
               studies lack data at the individual-level and treat all data alike, which create severe
               challenges to the analysis of marketing data, making it hard to execute in a rigorous
               manner that lends itself to replication by other researchers (Allenby et al., 2005). The
               HB model helps solve the problem of insufficient sample information and provide

               better forecasting accuracy (Lin, Chen, and Jen, 2007; Lynch, 2007). This study adopts
               the HB model to study the effects of viewers' comments and streamers' behaviors on
               viewers' gift-sending behavior in live streaming under the premise of considering
               streamer heterogeneity. Specifically, we measure the revenue of streamers (y), donations

               from viewers are included, on live-streaming platforms within the context of a normal
               distribution. We also calculate streamer value E(y), which emphasizes potential revenue
               streams as well. A standard HB model equation is as follows.
                                                                           th
                                                          th
                    It is assumed that y  is the value of the j  gift sent to the i  streamer. Then, we
                                      ij
               have
                                                                                                     (1)
                                                ~     ��        ��          ,     � ,                                   ( 1 )
                                                                �
                                           ��       ~     ��        ��          ,     � ,                                   ( 1 )

                                                                    �
                                               ��         � ��  � ��
                                     where         are dummy variables denoting the vectors of the comment metrics (i.e., total
                                              ��        are dummy variables denoting the vectors of the comment metrics (i.e., total
                                         where
               where x  are dummy variables denoting the vectors of the comment metrics (i.e., total
                                                 ��
                      ij
                                     number, positive comments, and negative comments), discrete emotional comments
                                         number, positive comments, and negative comments), discrete emotional comments
               number, positive comments, and negative comments), discrete emotional comments (i.e.,
                                     (i.e.,  excited,  amused,  praising,  complaining,  disappointed,  and  ridiculing),
                                         (i.e.,  excited,  amused,  praising,  complaining,  disappointed,  and  ridiculing),
               excited, amused, praising, complaining, disappointed, and ridiculing), andstreamers’ be-
                                     andstreamers’ behaviors (i.e., chatting with viewers, sharing food features, responding
                                         andstreamers’ behaviors (i.e., chatting with viewers, sharing food features, responding
               haviors (i.e., chatting with viewers, sharing food features, responding to questions from
                                     to  questions  from  viewers,  showing  the  cooking  process,  and  sharing  tasting
                                         to  questions  from  viewers,  showing  the  cooking  process,  and  sharing  tasting
                                                                                          th
               viewers, showing the cooking process, and sharing tasting experiences) in the i  live
                                                          th
                                     experiences) in the i  live streaming.          is a         ×  1 (       = 14) matrix representing
                                                             th
                                         experiences) in the i  live streaming.
                                                                             �         is a         ×  1 (       = 14) matrix representing
               streaming. β  is a k × 1 (k = 14) matrix representing viewers’ gift-sending behavior struc-
                                                                                 �
                          i
                                     viewers’ gift-sending behavior structure and is normally distributed.
                                         viewers’ gift-sending behavior structure and is normally distributed.
               ture and is normally distributed.
                                                ~             (         ,    ),                                       (2)
                                                                                             (2)
                                           �       ~             (         ,    ),                                       (2)
                                               �        �   �
                                     where          is a         ×  1 (       = 5) matrix, which are dummy variables that denote the
                                              �         is a         ×  1 (       = 5) matrix, which are dummy variables that denote the
                                         where
                                                  �
                                     presence of streamer heterogeneity (i.e., gender, physical attractiveness, and hosting
                                         presence of streamer heterogeneity (i.e., gender, physical attractiveness, and hosting
                                                     106
                                     style).        is represented by a        ×        matrix that measures the relationship between
                                         style).        is represented by a        ×        matrix that measures the relationship between
                                     viewers’ gift-sending behavior structure and streamer heterogenity.        is the positive
                                         viewers’ gift-sending behavior structure and streamer heterogenity.        is the positive
                                     definite covariance matrix of        ×        .
                                         definite covariance matrix of        ×        .
                                          The model allows for heterogeneity in the mean vector and covariance matrix of
                                              The model allows for heterogeneity in the mean vector and covariance matrix of
                                     the normal distribution and thus reflects heterogeneous behaviors in terms of levels (     )   �
                                         the normal distribution and thus reflects heterogeneous behaviors in terms of levels (     )
                                                                                                                       �
                                     and variability (     ). The HB model with normal distribution assumes that the mean
                                                       �
                                         and variability (     ). The HB model with normal distribution assumes that the mean
                                                          �
                                     vector          is normally distributed across viewers and employed an inverted gamma
                                         vector
                                              �         is normally distributed across viewers and employed an inverted gamma
                                                  �
                                                      �
                                                                                    � ,      ).
                                     distribution for       , that is,       �� ~                    (     ,      ).
                                                          �
                                                                      ��
                                         distribution for       , that is,        ~                    (     �  �
                                                                                �
                                          The core of the HB model accounts for the uncertainty of the sample (Chiang,
                                              The core of the HB model accounts for the uncertainty of the sample (Chiang,
                                     Chib,  and  Narasimhan,  1999). Accounting  for  uncertainty  is  critical  whenever  data
                                         Chib,  and  Narasimhan,  1999). Accounting  for  uncertainty  is  critical  whenever  data
                                     limitations  exist  that  lead  to  imprecise  inferences  about  any  aspects  of  behavior
                                         limitations  exist  that  lead  to  imprecise  inferences  about  any  aspects  of  behavior
                                     (Allenby et al., 2005). HB models are a combination of two things: (1) a model written
                                         (Allenby et al., 2005). HB models are a combination of two things: (1) a model written
                                     in a hierarchical form that is (2) estimated using Bayesian methods (Allenby et al.,
                                         in a hierarchical form that is (2) estimated using Bayesian methods (Allenby et al.,
                                     2005). We can analyze the marketing data using one model for within-unit analysis and
                                         2005). We can analyze the marketing data using one model for within-unit analysis and
                                     another model for across-unit analysis (Allenby et al., 2005). The within-unit model
                                         another model for across-unit analysis (Allenby et al., 2005). The within-unit model
                                     could be used to describe the viewers’ behaviors (e.g., viewers’ commenting or gift
                                         could be used to describe the viewers’ behaviors (e.g., viewers’ commenting or gift
                                     sending)  over  time,  while  the  across-unit  analysis  could  be  used  to  describe  the
                                         sending)  over  time,  while  the  across-unit  analysis  could  be  used  to  describe  the
                                     heterogeneity (e.g., the streamer’s outward beauty) of the units (Jen and Chen, 2007;
                                         heterogeneity (e.g., the streamer’s outward beauty) of the units (Jen and Chen, 2007;
                                     Rossi,  Gilula,  and  Allenby,  2001).  The  sub-models  are  combined  to  form  the
                                         Rossi,  Gilula,  and  Allenby,  2001).  The  sub-models  are  combined  to  form  the
                                     hierarchical model, and Bayes theorem is used to integrate the pieces and account for
                                         hierarchical model, and Bayes theorem is used to integrate the pieces and account for
                                     all  the  uncertainty  that  is  present  (Allenby  et  al.,  2005).  Furthermore,  with  the
                                         all  the  uncertainty  that  is  present  (Allenby  et  al.,  2005).  Furthermore,  with  the
                                     development of computational methods, Markov Chain Monte Carlo (MCMC) method
                                         development of computational methods, Markov Chain Monte Carlo (MCMC) method
                                     replaces  the  past  complex  analysis  required  to  implement  Bayes’  theorem  (Haugh,
                                         replaces  the  past  complex  analysis  required  to  implement  Bayes’  theorem  (Haugh,
                                     2017).
                                         2017).
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