# Histogram of the observations and the fitted probability mass function of a mixture of Poissons

### Description

Plot the histogram of the observations and the fitted probability mass function of a mixture of Poissons.

### Usage

1 2 | ```
plotmix.pois(x, theta, hist = 1, comp = TRUE, h = 1, main = "",
xlab = "Observations", ylab = "")
``` |

### Arguments

`x` |
data, can be either a vector or a matrix with the 1st column being the observed values and the 2nd column being the corresponding frequencies. |

`theta` |
parameter values, output of emtest.pois or pmle.pois, or a vector of parameter values, include mixing proportions and component parameters. |

`hist` |
style of histogram. hist = 0,1,2 are permitted. hist = 0 means no histogram, hist = 1,2 give two styles, default value: hist = 1. |

`comp` |
a parameter specifies the form of the component probability functions in the graph. The component probability functions will be plotted only if the order is 3 or lower. comp = T switches on the component probability functions in the graph. If comp = F, no component probability functions will be included. default value: comp = T. |

`h` |
a number between 0 and 1, specifying the height of the probability function, default value: h=1 (complete probability function). |

`main` |
title of graph, default value: main = "". |

`xlab` |
label of x-axis, default value: xlab = "Observations". |

`ylab` |
label of y-axis, default value: ylab = "". |

### Value

Return the histogram of the observations and the plot of the fitted probability mass function.

### Author(s)

Shaoting Li, Jiahua Chen and Pengfei Li

### See Also

emtest.pois, pmle.pois, rmix.pois

### Examples

1 2 3 4 5 6 | ```
#generate a random sample from a 2 component Poisson mixture,
#plot the histogram of the observations and the probability mass function with a set of
#given parameters.
x <- rmix.pois(200,c(0.3,0.7),c(2,5))
theta <- c(0.25,0.75,1.8,5.2)
plotmix.pois(x,theta)
``` |

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