Page 385 - Contributed Paper Session (CPS) - Volume 6
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CPS1992 Epimaco A. Cabanlit, Jr. et al.
            c.  The  rth  Moment  about  the  Origin  of  the  Mixture  of  Two  Power
            Function Distributions
            Theorem 4. If X is a random variable of the mixture of two power function
            distributions, with shape parameter  and scale parameter  > 0 where i = 1,
            2, then






            4.  Discussion and Conclusion
            The following are the results obtained in this study:
            1.  The  probability  density  function  of  the  mixture  of  two  power  function
            distributions satisfies the property






            2. The mean of the mixture of two power function distributions is






            3. The variance of the mixture of two power function distributions is











            4. The rth moment about the origin of the mixture of two power function
            distributions is






            The following are recommended for further studies:
            1. Study of mixture of more than two power function distributions;
            2. Study of other mixtures of distribution





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