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Acute leukaemia is a malignancy of the white blood cells that is aggressive and progressing. The illness can be further divided into two subtypes, each of which aﬀects diﬀerent types of white blood cells. Since, Myeloid cells are a type of white blood cell that protects the body against parasites, reduces the frequency of tissue damage, and ﬁghts bacterial infections. Lymphocytes are primarily involved in the defence against viral infections. The aim of this study is to analyze the lifetime of the survival patients with acute myeloid leukemia. Since, clinical data provides important tools for a possible development of surveillance system for the acute myeloid leukemia. In survival analysis, to performing an experiment up to a certain period of time or getting the desired number of failures is time-consuming and costly. Many of the available observations remains censored and only give the survival information of testing units up to a noted time and not about the exact failure times. In this article, the Akshaya distribution is considered as a survival lifetime model. Censoring time is also assumed to follow Akshaya distribution with a diﬀerent parameter. A survival study will be perform for the Acute Myelogenous Leukaemia patients data.