The complexity of DNA sequences is evaluated in order to differentiate between protein-coding and noncoding RNA segments. The method is based on computing the Shannon entropy of the sequences. By comparing the entropy of the original sequence with that of its shuffled one, we identify the source of the difference between the two segments and their relative contributions to the sequence. To demonstrate the method, the DNA sequences of the bacterium Clostridium difficile 630(G + C = 29.1%) and Bdellovibrio bacteriovorus(G + C = 50.6%) are analyzed, which are representatives of bacteria with unbalanced and balanced nucleotide content, respectively. It is shown that in both bacteria, regardless of nucleotide content, ΔrS — the relative difference of the two entropies — is significantly greater in protein-coding regions, when compared with noncoding RNA segments.
There are several factors associated with the sale of cosmetic products which contribute to gaining market share for related companies in this industry. Furthermore, sales forecasting is indispensable in all levels of a company’s supply chain including production, distribution and logistics, marketing, and sale. This article mainly focuses on the analysis of characteristics affecting sales and sales forecasting in the cosmetics industry in which it will be helpful in determining sales strategies of cosmetics companies. Therefore, as a case study in this study, the main factors affecting the sale of cosmetic products were determined and categorized; accordingly. Three products including moisturizing cream, perfume, and sunscreen were examined using a statistical method. The effect of factors on product sales was predicted using the spline smooth prediction method and based on the predicted values, using the non-parametric Friedman test and Mean Rank, the effective factors were ranked in each of the three products. Moreover, the company’s sales volume in each of the three products was forecasted by using ARIMA models. The results demonstrated that factors such as “price” and “product” elements are the main drivers influencing the sales of moisturizing creams and “promotion” and “Inflation rate” factors play the most effective role in the sales of the perfume. Also, the compound aggregated growth rate (CAGR) for moisturizers, perfumes, and sunscreens over a five-year period in the study company are 30%, 29%, and 45%, respectively. It is very clear that to achieve ideal sales, paying attention to these influential factors and forecasting product sales lead to predicting material procurement of manufactures, distribution channels, and sales which finally provides business with customer satisfaction.
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