Here are some great articles that show the efficacy of homeoprophylaxis:
Homeoprophylaxis: Human Records, Studies, and Trials. by Fran Sheffield
Homeoprophylaxis: A safe choice for preventing infectious contagious disease. Spring 2016 by Deborah Landowne
Here are some peer reviewed studies published in allopathic journals that show that contracting a childhood disease can be beneficial:
Mumps and ovarian cancer: modern interpretation of an historic association. PubMed, June 2010.
Mumps Protects Against Ovarian Cancer: Vaccine Steals the Protection. Laleva.org, October 2012.
History of chicken pox may reduce risk of brain cancer later in life. Baylor College of Medicine.
History of chickenpox in glioma risk: a report from the glioma international case–control study (GICC). Cancer Medicine, March 2016.
History of chickenpox and shingles and prevalence of antibodies to varicella-zoster virus and three other herpesviruses among adults with glioma and controls. PubMed, May, 2005.
Chickenpox in childhood is associated with decreased atopic disorders, IgE, allergic sensitization, and leukocyte subsets. PubMed, Feb, 2012.
Allergic disease and atopic sensitization in children in relation to measles vaccination and measles infection. PubMed, March, 2009.
The Free and Healthy Children International website for also has background on this homeopathic alternative to vaccines.