Derive T=MBsin(θ)=NIABsin(θ)

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genius_generous answered 6 months ago

Let Y = (Y1, Y2,..., Yn) and let θ > 0. Let Y|θ ∼ Pois(θ). Derive...

Let Y = (Y1, Y2,..., Yn) and let θ > 0. Let Y|θ ∼ Pois(θ). Derive the posterior density of θ given Y assuming the prior distribution of θ is Gamma(a,b) where a > 1. Then find the prior and posterior means and prior and posterior modes of θ.

Please derive the full expression of the rotation matrices R123(φ, θ, ψ) and R321(ψ, θ, φ).

A projectile is launched with speed v0 and angle θ. Derive an expression for the projectile's...

A projectile is launched with speed v0 and angle θ. Derive an expression for the projectile's maximum height h. A baseball is hit with a speed of 35.0 m/s . Calculate its height if it is hit at an angle of 30.0 ∘ . A baseball is hit with a speed of 35.0 m/s . Calculate its distance traveled if it is hit at an angle of 30.0 ∘ . A baseball is hit with a speed of 35.0 m/s...

6. Let T (with pdf fT (.|θ)) be complete for θ ∈ Θ0 and suppose Θ0...

6. Let T (with pdf fT (.|θ)) be complete for θ ∈ Θ0 and suppose Θ0 ⊂ Θ1. Show that Let T is complete for θ ∈ Θ1. However, the converse is not true.

Derive a Θ-bound on the solution to the following recurrence. using iterative recursion and check your...

Derive a Θ-bound on the solution to the following recurrence. using iterative recursion and check your answer with master theorem result T(n) = T (1/3 n) + log n

If consumption is C = a + b(Y – T) – θr, where θ > 0,...

If consumption is C = a + b(Y – T) – θr, where θ > 0, then, other things equal, monetary policy is more effective, and fiscal policy is less effective, in changing the level of output compared to when consumption is given by a standard Keynesian consumption function of the form C = a + b(Y – T).

Mathematically derive the auto covariance function for y(t) = w(t) + θ1 · w(t - 1)...

Mathematically derive the auto covariance function for y(t) = w(t) + θ1 · w(t - 1) + θ2 · w(t - 2) + θ3 · w(t - 3)

Write the total differential for H as a function of T & P and derive the...

Write the total differential for H as a function of T & P and derive the appropriate working equation.

The angle through which a rotating wheel has turned in time t is given by θ...

The angle through which a rotating wheel has turned in time t is given by θ = a t− b t2+ c t4, where θ is in radians and t in seconds PART A If a = 9.0 rad/s , b = 15.5 rad/s2 , c = 1.6 rad/s4 , evaluate ω at t = 3.2 s . Express your answer using two significant figures PART B Evaluate α at t = 3.2 s . Express your answer using two...

Define (x,y,θ) ~ P(x,y,θ) as follows: θ ~ Unif{0.1,0.9} (x,y) |θ ~ Bern(x|θ) Bern(y|θ) Where Bern(....

Define (x,y,θ) ~ P(x,y,θ) as follows: θ ~ Unif{0.1,0.9} (x,y) |θ ~ Bern(x|θ) Bern(y|θ) Where Bern(. | θ) is the p.m.f. for a Bernoulli random variable which takes the value 1 or 0 with probability, θ, (1-θ) respectively. Find probabilities a) Pr(x=0, y=0) ? (enter answer in decimal form, e.g. 0.56 ) (b) Pr(x=1, y=1) ? (enter answer in decimal form, e.g. 0.56 ) (c) Pr(x=1, y=0) ? (enter answer in decimal form, e.g. 0.56 ) (d) Pr(x=0, y=1) ?...

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