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CPS1111 Jitendra Kumar et al.
            financial  institutions  are  continuously  working  as  well  as  growing  well  but
            there  are  few  firms  which  are  not  efficiently  operating  as  per
            public/state/owner’s need and may be acquired or possibly consolidated by
            other  strong  company.  This  may  be  due  to  not  getting  high-quality
            performance  in  the  market  and  also  covers  it’s  financial  losses.  So,  these
            companies are merged in well-established company to meet out economical
            and financial condition with inferior risk. For that reason, merger is a long run
            process to combine two or more than two companies freely which are having
            better understanding under certain condition.
                In last few decades, researchers are taking inference to do research in the
            field of merger concept for the development of business and analyzed the
            impact and/or performance after the merger. Lubatkin (1983) addressed the
            issues of merger and shows benefits related to the acquiring firm. Berger et al.
            (1999) provided a comprehensive review of studies for evaluating mergers and
            acquisitions (M&As) in banking industry. Maditinos et al. (2009) investigated
            the short as well as long merger effects of two banks and it’s performance was
            recorded  from  the  balance  sheet.  Golbe  and  White  (1988)  discussed  time
            dependence  in  M&As  and  concluded  that  merger  series  strongly  follows
            autoregressive pattern. They also employed time series regression model to
            observe  the  simultaneous  relationship  between  mergers  and  exogenous
            variables.  Choi  and  Jeon  (2011)  applied  time  series  econometric  tools  to
            investigate the dynamic impact of aggregate merger activity in US economy
            and found that macroeconomic variables and various alternative measures
            have a long-run equilibrium relationship at merger point. Rao et al. (2016)
            studied  the  M&As  in  emerging  markets  by  investigating  post-M&A
            performance of ASEAN companies and found that decrease in performance is
            particularly significant for M&As and gave high cash reserves. Pandya (2017)
            measured the trend in mergers and acquisitions activity in manufacturing and
            non-manufacturing sector of India with the help of time series analysis and
            recorded  the  impact  of  merger  by  changes  with  government  policies  and
            political factors.
                The above literatures have discussion on economical and financial point of
            view whereas merged series can be explored to know the dependence on time
            as well as own past observations. So, merger concept may be analyzed to
            model the series because merger of firms or companies are very specific due
            to failure of a firm or company. This existing literature argued that merger is
            effective  for  economy  both  positively  and  negatively  as  per  limitations.
            Therefore, a time series model is developed to model the merger process and
            show the appropriateness and effectiveness of the methodology in present
            scenario. We have studied an autoregressive model to construct a new time
            series model which accommodate the merger/acquire of series. First proposed
            the estimation methods in both classical and Bayesian framework then, tested


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