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In order that the linear estimator ( 5 ) be unbiased , it is necessary and sufficient that 1 EB = AEY + b = AXB + b = B ·· ( 15 ) identically in B. In particular , then , the equation must hold for B = 0 , leading to b = 0 .
In order that the linear estimator ( 5 ) be unbiased , it is necessary and sufficient that 1 EB = AEY + b = AXB + b = B ·· ( 15 ) identically in B. In particular , then , the equation must hold for B = 0 , leading to b = 0 .
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In the linear regression model Y - XB + & an unbiased linear estimator of B exists if and only if rank X = k . Proof : For a linear estimator ( 5 ) it is always possible to set b = 0 to satisfy ( 16 ) . So we are to show that there ...
In the linear regression model Y - XB + & an unbiased linear estimator of B exists if and only if rank X = k . Proof : For a linear estimator ( 5 ) it is always possible to set b = 0 to satisfy ( 16 ) . So we are to show that there ...
Seite
Let ( A , ) , ( В , B ) be commutative Banach algebras of functions on G and B be a dense ideal in A. ( 1 ) If T is a continuous multiplicative linear functional on B , then there exists a continuous multiplicative linear functional T ...
Let ( A , ) , ( В , B ) be commutative Banach algebras of functions on G and B be a dense ideal in A. ( 1 ) If T is a continuous multiplicative linear functional on B , then there exists a continuous multiplicative linear functional T ...
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