{"product_id":"probabilities-of-counting-codes-peter-mzller-9783842380387","title":"Probabilities of Counting Codes","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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Peter Müller\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3842380380\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783842380387\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Bod - Books on Demand\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/04\/2011\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 114\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.35lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.27h x 5.83w x 0.27d","brand":"Peter Müller","offers":[{"title":"Paperback","offer_id":48446432968959,"sku":"9783842380387","price":26.9,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_33ac902f-4adf-4ffa-9d09-3126957eb93f.jpg?v=1777224594","url":"https:\/\/www.whiterainbookhouse.com\/products\/probabilities-of-counting-codes-peter-mzller-9783842380387","provider":"WR Book House","version":"1.0","type":"link"}