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Tests for an Ideal Index Number
1. Factor Reversal Test
Factor Reversal Test indicates that when the price index is multiplied along with a quantity index that is factors are reversed, it should result in the value index.
2. The time reversal test
If we reverse the time subscripts of a quantity or price index, the result must be reciprocal of the original index.
y=3x+logp
Consider the equation x 2 y′′+ xy′- y = 4x ln x (a) Verify that x is a solution to the homogeneous equation. (b) Use the method of reduction of order to derive the second
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Define the Probability Transition Matrices or Brand switching.
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