California State University (CSU): Open Journal Systems
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The German Tank Problem with Multiple Factories
Get PDFDuring the Second World War, estimates of the number of tanks deployed by Germany were critically needed. The Allies adopted a successful statistical approach to estimate this information: assuming that the tanks are sequentially numbered starting from 1, if we observe k tanks from an unknown total of N, then the best linear unbiased estimator for N is M(1+1/k)-1 where M is the maximum observed serial number. However, in many situations, the original German Tank Problem is insufficient, since typically there are l > 1 factories, and tanks produced by different factories may have serial numbers in disjoint ranges that are often far separated.
Clark, Gonye and Miller presented an unbiased estimator for N when the minimum serial number is unknown. Provided one identifies which samples correspond to which factory, one can then estimate each factory\u27s range and summing the sizes of these ranges yields an estimate for the rival\u27s total productivity. We construct an efficient procedure to estimate the total productivity and prove that it is effective when log l/log k is sufficiently small. In the final section, we show that given information about the gaps, we can make an estimator that performs orders of magnitude better when we have a small number of samples
Colonization is Misogynistic: The Sterilization of Native American Women in the Twentieth Century
Get PDFThis paper is a historical essay based on the collection of research from several scholars, such as Juliana Barr, Sarah Deer, and Nancy Shoemaker, on the continuous cycle of colonial violence against the indigenous people of North America. Colonial violence used the matriachal system of traditional native society, which valued women as the center of their communities, to target native women due to their patriarchal values. This paper investigates the destruction of traditional native society as central to colonization, beginning with European contact and it\u27s continuous cycle within contemporary society. It focuses on the forced sterilization of Native American women in the 1960s and 1970s in the United States, to demonstrate that colonial violence is not an issue of the past
International, Female, First-Generation Scholars\u27 Resilience and Search for Love
Get PDFImagine yourself as an international, female student. As the first in your family to attend college, you have high hopes for your future. You know it\u27s going to take work––not just to excel in your studies, but to overcome the social, institutional, and familial pressures and inequalities you encounter every day. Despite it all, however, you remain driven to achieve your dreams, and, in the end, that\u27s exactly what you do. This is the experience Marty authentically represents through a comparative analysis of two international, female, first-gen scholars. Advancing an argument for the power of "anxiety-ridden resilience," Marty explores the unstoppable nature of first-gen women in higher education around the globe
