A researcher is analysing switching between two competing products. The shares for the two products are found

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A researcher is analysing switching between two competing products. The shares for the two products are found to be as given here:

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The researcher believes that an accurate representation of the market share in any period can be obtained by using Markov processes. Assuming his belief is correct:

(a) Estimate the transition probability matrix.

(b) Obtain the market shares in period 4 using the estimated transition matrix.
(

c) If the actual market shares for period 4 were 66% and 34%, would You revise Your estimate of the transition matrix? Give reason.

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