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The Geometric distribution is one of the important distributions in the real life situation specifically in reliability/survival analysis and queuing theory. One of the important property of this distribution is the lack of memory property and in case of its truncation, situations arise practically in cases where the ability to record, or even to know about, occurrences is limited to values which lie above or below a given threshold or within a specified range. For example, if the date of occurrence of an infectious disease in a patient is examined, this would typically be subject to truncation relative to those of all patients suffering from that infectious disease in the area given that the doctor starts the treatment only in a given age range on a specific time. This paper aims at studying the truncated geometric distribution from sequential point of view and proposes sequential testing procedure for its parameter of interest and also study its OC and ASN functions, both theoretically and graphically.

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