{ "item_title" : "Probabilities of Counting Codes", "item_author" : [" Peter Müller "], "item_description" : "In many cases counters are used to count special events within an endless sequence of events. This paper discusses a specific calculation, related to the probability of a counter overrun if the special event occurs not in a predictable way but with a certain probability. Different counter codes are compared with each other. A probability formula is developed for special scenarios which are normally analyzed by state diagrams and which can be numerically solved by the related Markov chains. The target is to enable a non-numerical discussion of the topic. It is shown how formulas can be found based on the rules of the probability theory, and their correctness is verified by a comparison with Markov chains.", "item_img_path" : "https://covers4.booksamillion.com/covers/bam/3/84/238/038/3842380380_b.jpg", "price_data" : { "retail_price" : "26.90", "online_price" : "26.90", "our_price" : "26.90", "club_price" : "26.90", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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