w_mixEM {ashr} | R Documentation |

## Estimate mixture proportions of a mixture model by EM algorithm (weighted version)

### Description

Given the individual component likelihoods for a mixture model, and a set of weights, estimates the mixture proportions by an EM algorithm.

### Usage

```
w_mixEM(matrix_lik, prior, pi_init = NULL, weights = NULL, control = list())
```

### Arguments

`matrix_lik` |
a n by k matrix with (j,k)th element equal to |

`prior` |
a k vector of the parameters of the Dirichlet prior on |

`pi_init` |
the initial value of |

`weights` |
an n vector of weights |

`control` |
A list of control parameters for the SQUAREM algorithm, default value is set to be control.default=list(K = 1, method=3, square=TRUE, step.min0=1, step.max0=1, mstep=4, kr=1, objfn.inc=1,tol=1.e-07, maxiter=5000, trace=FALSE). |

### Details

Fits a k component mixture model

`f(x|\pi)= \sum_k \pi_k f_k(x)`

to independent
and identically distributed data `x_1,\dots,x_n`

with weights `w_1,\dots,w_n`

.
Estimates mixture proportions `\pi`

by maximum likelihood, or by maximum a posteriori (MAP) estimation for a Dirichlet prior on `\pi`

(if a prior is specified). Here the log-likelihood for the weighted data is defined as `l(\pi) = \sum_j w_j log f(x_j | \pi)`

. Uses the SQUAREM package to accelerate convergence of EM. Used by the ash main function; there is no need for a user to call this
function separately, but it is exported for convenience.

### Value

A list, including the estimates (pihat), the log likelihood for each interation (B) and a flag to indicate convergence

*ashr*version 2.2-63 Index]