Using the two type diseases Branching Process resulted by Chemical weapon


  • Bestun Merza Abdul-Kareem College of Management and Economics – Department of Statistics / Salahaddin University-Erbil
  • Drakhshan Jalal Hassan College of Managementand Economics – Department of Statistics / Salahaddin University-Erbil



Finite state Markov Process, Two type branching process, Probability Generation Function


­­In this study we have dealt with the number of child’s who are exposed the (eye, respiratory or both) diseases in the families whose at least one of their parents have the same diseases, which has caused by Chemical hit in Kurdistan of Iraq in 1988.

The diseases are become inherited and the offspring’s have received the diseases from their affected parents and transmitted to successive generations. In order to a chive the objectives of this research, the data obtained from a sample of size (500) patient’s family chosen randomly by stratified sampling, it described situations in which the families composed of members affected by the diseases.

From available data the transition probabilities and the expected length of time that the process spends in each state of the two types are determined; also the matrix of the expected number of offspring of the two types is defined.