Probability
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Probability
Let Θ be an unknown random variable that we wish to estimate. It has a prior distribution with mean 1 and variance 2. Let W be a noise term, another unknown random variable with mean 3 and variance 5. Assume that Θ and W are
asked by A on April 20, 2014 
Probability
Let Θ1 and Θ2 be some unobserved Bernoulli random variables and let X be an observation. Conditional on X=x, the posterior joint PMF of Θ1 and Θ2 is given by pΘ1,Θ2∣X(θ1,θ2∣x)= 0.26, if θ1=0,θ2=0, 0.26, if
asked by SPS on April 5, 2015 
probalitity
Let Θ1 and Θ2 be some unobserved Bernoulli random variables and let X be an observation. Conditional on X=x, the posterior joint PMF of Θ1 and Θ2 is given by pΘ1,Θ2∣X(θ1,θ2∣x)= 0.26, if θ1=0,θ2=0, 0.26, if
asked by akg on March 29, 2017 
maths : probability
We are given a biased coin, where the probability of Heads is q. The bias q is itself the realization of a random variable Q which is uniformly distributed on the interval [0,1]. We want to estimate the bias of this coin. We flip
asked by Anonymous on December 18, 2018 
probablity
We are given a biased coin , where the probability of heads is q. he bias q is itself the realization of a random variable Q which is uniformly distributed on the interval [0,1]. We want to estimate the bias of the coin. We flip
asked by Anonymous on December 23, 2018 
Probability
The random variable X is uniformly distributed over the interval [θ,2θ]. The parameter θ is unknown and is modeled as the value of a continuous random variable Θ, uniformly distributed between zero and one. Given an
asked by A on April 3, 2014 
Statistics
The lifetime (in months) of a battery is modeled by a random variable X that has pdf fθ(x)=(K)*(θ^x)*(1)(x>0) where K=ln(1/θ) for an unknown parameter θ∈(0,1). (Here 1(x>0) is the indicator variable that takes value 1 when
asked by Mac Daniels on October 28, 2019 
Probability
Manhole explosions (usually caused by gas leaks and sparks) are on the rise in your city. On any given day, the manhole cover near your house explodes with some unknown probability, which is the same across all days. We model this
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probability
A fair coin is flipped independently until the first Heads is observed. Let K be the number of Tails observed before the first Heads (note that K is a random variable). For k=0,1,2,…,K, let Xk be a continuous random variable
asked by JuanPro on March 28, 2014 
probability
Let Θ and X be jointly continuous nonnegative random variables. A particular value x of X is observed and it turns out that fΘX(θx)=2e−2θ , for θ≥0 . The following facts may be useful: for an exponential random variable
asked by anonymous on July 14, 2019