Beginner2022-06-27Added 17 answers
If anyone runs into the similar section in Gelman's book, I'm going to give my own solution that I came up with below (pages 110-111).
By this, the author only implies that
When the author refers to a "appropriate Jacobian," he is referring to the Jacobian matrix's determinant in the formula for density functions with changed variables:
Simply said, the author uses the change of variables formula twice. The fact that
If we denote and ), then:
From the formula for variable change, we obtain:
and there it is, i.e. the prior in original scale.
By using the exact same modification of variables for the alternate scale:
where this time and We obtain: for the Jacobian determinant.
so we get:
Which expression has both 8 and n as factors???
One number is 2 more than 3 times another. Their sum is 22. Find the numbers
Perform the indicated operation and simplify the result. Leave your answer in factored form
An ordered pair set is referred to as a ___?
Please, can u convert 3.16 (6 repeating) to fraction.
Write an algebraic expression for the statement '6 less than the quotient of x divided by 3 equals 2'.
What is converted into a fraction?
The mixed fraction representation of 7/3 is...
How to write the algebraic expression given: the quotient of 5 plus d and 12 minus w?
Express 200+30+5+4100+71000 as a decimal number and find its hundredths digit.
Find four equivalent fractions of the given fraction:
How to find the greatest common factor of ?