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[quote=Anonymous]
You can have breakthrough cases even if immunized, and these may be milder. But the 93% (one dose) and 97% (two dose) failure rates are true failures.

https://www.cdc.gov/pinkbook/hcp/table-of-contents/chapter-13-measles.html

[quote]Measles antibodies develop in approximately 95% of children vaccinated at age 12 months. Seroconversion rates are similar for single-antigen measles, MMR vaccine, and MMRV vaccine. [b]Approximately 2% to 7% of children who receive only 1 dose of MMR vaccine fail to respond to it, i.e., they experience primary vaccine failure.[/b] MMR vaccine failure can occur because of passive antibody in the vaccine recipient, immaturity of the immune system, damaged vaccine, or other reasons. Most persons who fail to respond to the first dose will respond to a second dose. Studies indicate that more than 99% of persons who receive 2 doses of measles vaccine (with the first dose administered no earlier than the first birthday) develop serologic evidence of measles immunity.[/quote]

Primary vaccine failure is the failure to mount an immune response and develop antibodies, NOT a "partial response" -- a failure of response. There are more details at the link, and if you have more questions, I'd advise to read there first.

The second place to go would be an overview such as this:

https://www.sciencedirect.com/science/article/pii/S0264410X18304857

[b]A framework for research on vaccine effectiveness[/b]

[quote]2. Vaccine failure models (Table 1)

[b]2.1. Primary vaccine failure (“All-or-None”)[/b]

Vaccine protection and failure are two sides of the same coin, but understanding how vaccines fail is a relatively under-explored area. Traditionally, vaccines were thought to generate life-long immunity, with [b]a small proportion of vaccinees not protected because the vaccine did not “take” (“all-or-none”). This is considered “primary vaccine failure”[/b] and is frequently associated with live virus vaccines such as measles, mumps and rubella vaccines [7].

[b]2.2. Secondary vaccine failure[/b]

In contrast, “secondary vaccine failure” refers to waning vaccine immunity in which protection decays with time. For example, in the absence of circulating pathogen, humoral protection might be expected to wane exponentially [8], [9]. Secondary failure has traditionally been more associated with inactivated, subunit, and toxoid vaccines (e.g., pertussis, diphtheria and tetanus).

[7] S.L. Deeks, G.H. Lim, M.A. Simpson, L. Gagné, J. Gubbay, E. Kristjanson, et al.
[i]An assessment of mumps vaccine effectiveness by dose during an outbreak in Canada[/i]
CMAJ, 183 (9) (2011), pp. 1014-1020, 10.1503/cmaj.101371

[8] M.B. van Ravenhorst, A.B. Marinovic, F.R. van der Klis, D.M. van Rooijen, M. van Maurik, S.P. Stoof, et al.
[i]Long-term persistence of protective antibodies in Dutch adolescents following a meningococcal serogroup C tetanus booster vaccination[/i]
Vaccine, 34 (50) (2016), pp. 6309-6315, 10.1016/j.vaccine.2016.10.049

[9] P.F. Teunis, J.C. van Eijkeren, W.F. de Graaf, A.B. Marinović, M.E. Kretzschmar
[i]Linking the seroresponse to infection to within-host heterogeneity in antibody production[/i]
Epidemics, 16 (2016), pp. 33-39, 10.1016/j.epidem.2016.04.001[/quote]

That article identifies that although measles remains the classic context for primary vaccine failure, OTHER live attenuated virus vaccines (specifically, mumps and rubella) demonstrate both primary and secondary models of vaccine failure -- but not measles.

[/quote]

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